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Finding the Fourth Proportional to 332.24, 458.57 and 207.90

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Solution

The fourth proportional to 332.24, 458.57 and 207.90 is: 286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.24 : 458.57 = 207.90 : x
  2. Step 2: Convert to fraction form
    332.24/458.57 = 207.90/x
  3. Step 3: Cross multiply
    332.24x = 458.57 × 207.90
  4. Step 4: Simplify right side
    332.24x = 95,336.70
  5. Step 5: Solve for x
    x = 95,336.70/332.24
  6. Step 6: Final answer
    x = 286.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.