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Finding the Fourth Proportional to 658.33, 908.62 and 433.87

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Solution

The fourth proportional to 658.33, 908.62 and 433.87 is: 598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.33 : 908.62 = 433.87 : x
  2. Step 2: Convert to fraction form
    658.33/908.62 = 433.87/x
  3. Step 3: Cross multiply
    658.33x = 908.62 × 433.87
  4. Step 4: Simplify right side
    658.33x = 394,218.42
  5. Step 5: Solve for x
    x = 394,218.42/658.33
  6. Step 6: Final answer
    x = 598.82

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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.