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Finding the Fourth Proportional to 487.62, 731.70 and 292.14

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Solution

The fourth proportional to 487.62, 731.70 and 292.14 is: 438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.62 : 731.70 = 292.14 : x
  2. Step 2: Convert to fraction form
    487.62/731.70 = 292.14/x
  3. Step 3: Cross multiply
    487.62x = 731.70 × 292.14
  4. Step 4: Simplify right side
    487.62x = 213,758.84
  5. Step 5: Solve for x
    x = 213,758.84/487.62
  6. Step 6: Final answer
    x = 438.37

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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.