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Finding the Fourth Proportional to 582.22, 872.72 and 257.55

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Solution

The fourth proportional to 582.22, 872.72 and 257.55 is: 386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.22 : 872.72 = 257.55 : x
  2. Step 2: Convert to fraction form
    582.22/872.72 = 257.55/x
  3. Step 3: Cross multiply
    582.22x = 872.72 × 257.55
  4. Step 4: Simplify right side
    582.22x = 224,769.04
  5. Step 5: Solve for x
    x = 224,769.04/582.22
  6. Step 6: Final answer
    x = 386.06

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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.