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Finding the Fourth Proportional to 488.52, 731.76 and 292.90

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Solution

The fourth proportional to 488.52, 731.76 and 292.90 is: 438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.52 : 731.76 = 292.90 : x
  2. Step 2: Convert to fraction form
    488.52/731.76 = 292.90/x
  3. Step 3: Cross multiply
    488.52x = 731.76 × 292.90
  4. Step 4: Simplify right side
    488.52x = 214,332.50
  5. Step 5: Solve for x
    x = 214,332.50/488.52
  6. Step 6: Final answer
    x = 438.74

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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.