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Finding the Fourth Proportional to 588.53, 883.20 and 467.57

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Solution

The fourth proportional to 588.53, 883.20 and 467.57 is: 701.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.53 : 883.20 = 467.57 : x
  2. Step 2: Convert to fraction form
    588.53/883.20 = 467.57/x
  3. Step 3: Cross multiply
    588.53x = 883.20 × 467.57
  4. Step 4: Simplify right side
    588.53x = 412,957.82
  5. Step 5: Solve for x
    x = 412,957.82/588.53
  6. Step 6: Final answer
    x = 701.68

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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.