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Finding the Fourth Proportional to 588.87, 883.60 and 314.93

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Solution

The fourth proportional to 588.87, 883.60 and 314.93 is: 472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.87 : 883.60 = 314.93 : x
  2. Step 2: Convert to fraction form
    588.87/883.60 = 314.93/x
  3. Step 3: Cross multiply
    588.87x = 883.60 × 314.93
  4. Step 4: Simplify right side
    588.87x = 278,272.15
  5. Step 5: Solve for x
    x = 278,272.15/588.87
  6. Step 6: Final answer
    x = 472.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.