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Finding the Fourth Proportional to 487.62, 730.62 and 282.42

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Solution

The fourth proportional to 487.62, 730.62 and 282.42 is: 423.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.62 : 730.62 = 282.42 : x
  2. Step 2: Convert to fraction form
    487.62/730.62 = 282.42/x
  3. Step 3: Cross multiply
    487.62x = 730.62 × 282.42
  4. Step 4: Simplify right side
    487.62x = 206,341.70
  5. Step 5: Solve for x
    x = 206,341.70/487.62
  6. Step 6: Final answer
    x = 423.16

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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.