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Finding the Fourth Proportional to 592.97, 885.17 and 566.34

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Solution

The fourth proportional to 592.97, 885.17 and 566.34 is: 845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.97 : 885.17 = 566.34 : x
  2. Step 2: Convert to fraction form
    592.97/885.17 = 566.34/x
  3. Step 3: Cross multiply
    592.97x = 885.17 × 566.34
  4. Step 4: Simplify right side
    592.97x = 501,299.92
  5. Step 5: Solve for x
    x = 501,299.92/592.97
  6. Step 6: Final answer
    x = 845.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.