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Finding the Fourth Proportional to 588.60, 882.18 and 263.52

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Solution

The fourth proportional to 588.60, 882.18 and 263.52 is: 394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 882.18 = 263.52 : x
  2. Step 2: Convert to fraction form
    588.60/882.18 = 263.52/x
  3. Step 3: Cross multiply
    588.60x = 882.18 × 263.52
  4. Step 4: Simplify right side
    588.60x = 232,472.07
  5. Step 5: Solve for x
    x = 232,472.07/588.60
  6. Step 6: Final answer
    x = 394.96

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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.