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Finding the Fourth Proportional to 658.23, 908.49 and 437.49

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Solution

The fourth proportional to 658.23, 908.49 and 437.49 is: 603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.23 : 908.49 = 437.49 : x
  2. Step 2: Convert to fraction form
    658.23/908.49 = 437.49/x
  3. Step 3: Cross multiply
    658.23x = 908.49 × 437.49
  4. Step 4: Simplify right side
    658.23x = 397,455.29
  5. Step 5: Solve for x
    x = 397,455.29/658.23
  6. Step 6: Final answer
    x = 603.82

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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.