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Finding the Fourth Proportional to 588.34, 881.61 and 314.47

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Solution

The fourth proportional to 588.34, 881.61 and 314.47 is: 471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.34 : 881.61 = 314.47 : x
  2. Step 2: Convert to fraction form
    588.34/881.61 = 314.47/x
  3. Step 3: Cross multiply
    588.34x = 881.61 × 314.47
  4. Step 4: Simplify right side
    588.34x = 277,239.90
  5. Step 5: Solve for x
    x = 277,239.90/588.34
  6. Step 6: Final answer
    x = 471.22

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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.