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Finding the Fourth Proportional to 487.38, 729.26 and 292.50

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Solution

The fourth proportional to 487.38, 729.26 and 292.50 is: 437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.38 : 729.26 = 292.50 : x
  2. Step 2: Convert to fraction form
    487.38/729.26 = 292.50/x
  3. Step 3: Cross multiply
    487.38x = 729.26 × 292.50
  4. Step 4: Simplify right side
    487.38x = 213,307.09
  5. Step 5: Solve for x
    x = 213,307.09/487.38
  6. Step 6: Final answer
    x = 437.66

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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.