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Finding the Fourth Proportional to 591.41, 885.56 and 475.23

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Solution

The fourth proportional to 591.41, 885.56 and 475.23 is: 711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.41 : 885.56 = 475.23 : x
  2. Step 2: Convert to fraction form
    591.41/885.56 = 475.23/x
  3. Step 3: Cross multiply
    591.41x = 885.56 × 475.23
  4. Step 4: Simplify right side
    591.41x = 420,842.30
  5. Step 5: Solve for x
    x = 420,842.30/591.41
  6. Step 6: Final answer
    x = 711.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.