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Finding the Fourth Proportional to 582.29, 807.02 and 571.36

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Solution

The fourth proportional to 582.29, 807.02 and 571.36 is: 791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.29 : 807.02 = 571.36 : x
  2. Step 2: Convert to fraction form
    582.29/807.02 = 571.36/x
  3. Step 3: Cross multiply
    582.29x = 807.02 × 571.36
  4. Step 4: Simplify right side
    582.29x = 461,098.67
  5. Step 5: Solve for x
    x = 461,098.67/582.29
  6. Step 6: Final answer
    x = 791.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.