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Finding the Fourth Proportional to 592.76, 816.89 and 426.68

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Solution

The fourth proportional to 592.76, 816.89 and 426.68 is: 588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.76 : 816.89 = 426.68 : x
  2. Step 2: Convert to fraction form
    592.76/816.89 = 426.68/x
  3. Step 3: Cross multiply
    592.76x = 816.89 × 426.68
  4. Step 4: Simplify right side
    592.76x = 348,553.73
  5. Step 5: Solve for x
    x = 348,553.73/592.76
  6. Step 6: Final answer
    x = 588.02

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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.