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Finding the Fourth Proportional to 592.17, 892.27 and 491.71

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Solution

The fourth proportional to 592.17, 892.27 and 491.71 is: 740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.17 : 892.27 = 491.71 : x
  2. Step 2: Convert to fraction form
    592.17/892.27 = 491.71/x
  3. Step 3: Cross multiply
    592.17x = 892.27 × 491.71
  4. Step 4: Simplify right side
    592.17x = 438,737.23
  5. Step 5: Solve for x
    x = 438,737.23/592.17
  6. Step 6: Final answer
    x = 740.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.