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Finding the Fourth Proportional to 588.74, 884.31 and 497.60

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Solution

The fourth proportional to 588.74, 884.31 and 497.60 is: 747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.74 : 884.31 = 497.60 : x
  2. Step 2: Convert to fraction form
    588.74/884.31 = 497.60/x
  3. Step 3: Cross multiply
    588.74x = 884.31 × 497.60
  4. Step 4: Simplify right side
    588.74x = 440,032.66
  5. Step 5: Solve for x
    x = 440,032.66/588.74
  6. Step 6: Final answer
    x = 747.41

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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.