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Finding the Fourth Proportional to 582.69, 877.23 and 531.66

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Solution

The fourth proportional to 582.69, 877.23 and 531.66 is: 800.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.69 : 877.23 = 531.66 : x
  2. Step 2: Convert to fraction form
    582.69/877.23 = 531.66/x
  3. Step 3: Cross multiply
    582.69x = 877.23 × 531.66
  4. Step 4: Simplify right side
    582.69x = 466,391.39
  5. Step 5: Solve for x
    x = 466,391.39/582.69
  6. Step 6: Final answer
    x = 800.41

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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.