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Finding the Fourth Proportional to 609.40, 914.10 and 285.40

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Solution

The fourth proportional to 609.40, 914.10 and 285.40 is: 428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.40 : 914.10 = 285.40 : x
  2. Step 2: Convert to fraction form
    609.40/914.10 = 285.40/x
  3. Step 3: Cross multiply
    609.40x = 914.10 × 285.40
  4. Step 4: Simplify right side
    609.40x = 260,884.14
  5. Step 5: Solve for x
    x = 260,884.14/609.40
  6. Step 6: Final answer
    x = 428.10

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.