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Finding the Fourth Proportional to 609.69, 914.12 and 284.88

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Solution

The fourth proportional to 609.69, 914.12 and 284.88 is: 427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.69 : 914.12 = 284.88 : x
  2. Step 2: Convert to fraction form
    609.69/914.12 = 284.88/x
  3. Step 3: Cross multiply
    609.69x = 914.12 × 284.88
  4. Step 4: Simplify right side
    609.69x = 260,414.51
  5. Step 5: Solve for x
    x = 260,414.51/609.69
  6. Step 6: Final answer
    x = 427.13

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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.