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Finding the Fourth Proportional to 591.24, 885.30 and 382.44

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Solution

The fourth proportional to 591.24, 885.30 and 382.44 is: 572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.24 : 885.30 = 382.44 : x
  2. Step 2: Convert to fraction form
    591.24/885.30 = 382.44/x
  3. Step 3: Cross multiply
    591.24x = 885.30 × 382.44
  4. Step 4: Simplify right side
    591.24x = 338,574.13
  5. Step 5: Solve for x
    x = 338,574.13/591.24
  6. Step 6: Final answer
    x = 572.65

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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.