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Finding the Fourth Proportional to 658.41, 908.64 and 392.82

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Solution

The fourth proportional to 658.41, 908.64 and 392.82 is: 542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.41 : 908.64 = 392.82 : x
  2. Step 2: Convert to fraction form
    658.41/908.64 = 392.82/x
  3. Step 3: Cross multiply
    658.41x = 908.64 × 392.82
  4. Step 4: Simplify right side
    658.41x = 356,931.96
  5. Step 5: Solve for x
    x = 356,931.96/658.41
  6. Step 6: Final answer
    x = 542.11

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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.