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Finding the Fourth Proportional to 591.98, 817.11 and 474.14

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Solution

The fourth proportional to 591.98, 817.11 and 474.14 is: 654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.98 : 817.11 = 474.14 : x
  2. Step 2: Convert to fraction form
    591.98/817.11 = 474.14/x
  3. Step 3: Cross multiply
    591.98x = 817.11 × 474.14
  4. Step 4: Simplify right side
    591.98x = 387,424.54
  5. Step 5: Solve for x
    x = 387,424.54/591.98
  6. Step 6: Final answer
    x = 654.46

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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.