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Finding the Fourth Proportional to 588.47, 812.01 and 339.71

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Solution

The fourth proportional to 588.47, 812.01 and 339.71 is: 468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.47 : 812.01 = 339.71 : x
  2. Step 2: Convert to fraction form
    588.47/812.01 = 339.71/x
  3. Step 3: Cross multiply
    588.47x = 812.01 × 339.71
  4. Step 4: Simplify right side
    588.47x = 275,843.86
  5. Step 5: Solve for x
    x = 275,843.86/588.47
  6. Step 6: Final answer
    x = 468.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.