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Finding the Fourth Proportional to 487.62, 730.20 and 314.49

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Solution

The fourth proportional to 487.62, 730.20 and 314.49 is: 470.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.62 : 730.20 = 314.49 : x
  2. Step 2: Convert to fraction form
    487.62/730.20 = 314.49/x
  3. Step 3: Cross multiply
    487.62x = 730.20 × 314.49
  4. Step 4: Simplify right side
    487.62x = 229,640.60
  5. Step 5: Solve for x
    x = 229,640.60/487.62
  6. Step 6: Final answer
    x = 470.94

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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.