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Finding the Fourth Proportional to 582.13, 872.49 and 257.14

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Solution

The fourth proportional to 582.13, 872.49 and 257.14 is: 385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.13 : 872.49 = 257.14 : x
  2. Step 2: Convert to fraction form
    582.13/872.49 = 257.14/x
  3. Step 3: Cross multiply
    582.13x = 872.49 × 257.14
  4. Step 4: Simplify right side
    582.13x = 224,352.08
  5. Step 5: Solve for x
    x = 224,352.08/582.13
  6. Step 6: Final answer
    x = 385.40

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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.