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Finding the Fourth Proportional to 578.16, 867.60 and 289.62

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Solution

The fourth proportional to 578.16, 867.60 and 289.62 is: 434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.16 : 867.60 = 289.62 : x
  2. Step 2: Convert to fraction form
    578.16/867.60 = 289.62/x
  3. Step 3: Cross multiply
    578.16x = 867.60 × 289.62
  4. Step 4: Simplify right side
    578.16x = 251,274.31
  5. Step 5: Solve for x
    x = 251,274.31/578.16
  6. Step 6: Final answer
    x = 434.61

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.