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Finding the Fourth Proportional to 487.40, 730.38 and 282.02

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Solution

The fourth proportional to 487.40, 730.38 and 282.02 is: 422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.40 : 730.38 = 282.02 : x
  2. Step 2: Convert to fraction form
    487.40/730.38 = 282.02/x
  3. Step 3: Cross multiply
    487.40x = 730.38 × 282.02
  4. Step 4: Simplify right side
    487.40x = 205,978.12
  5. Step 5: Solve for x
    x = 205,978.12/487.40
  6. Step 6: Final answer
    x = 422.61

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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.