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Finding the Fourth Proportional to 658.04, 908.15 and 392.34

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Solution

The fourth proportional to 658.04, 908.15 and 392.34 is: 541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.04 : 908.15 = 392.34 : x
  2. Step 2: Convert to fraction form
    658.04/908.15 = 392.34/x
  3. Step 3: Cross multiply
    658.04x = 908.15 × 392.34
  4. Step 4: Simplify right side
    658.04x = 356,301.61
  5. Step 5: Solve for x
    x = 356,301.61/658.04
  6. Step 6: Final answer
    x = 541.46

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Why These Related Problems?

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