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Finding the Fourth Proportional to 614.97, 849.34 and 476.75

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Solution

The fourth proportional to 614.97, 849.34 and 476.75 is: 658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.97 : 849.34 = 476.75 : x
  2. Step 2: Convert to fraction form
    614.97/849.34 = 476.75/x
  3. Step 3: Cross multiply
    614.97x = 849.34 × 476.75
  4. Step 4: Simplify right side
    614.97x = 404,923.78
  5. Step 5: Solve for x
    x = 404,923.78/614.97
  6. Step 6: Final answer
    x = 658.45

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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.