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Finding the Fourth Proportional to 582.83, 874.11 and 351.78

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Solution

The fourth proportional to 582.83, 874.11 and 351.78 is: 527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.83 : 874.11 = 351.78 : x
  2. Step 2: Convert to fraction form
    582.83/874.11 = 351.78/x
  3. Step 3: Cross multiply
    582.83x = 874.11 × 351.78
  4. Step 4: Simplify right side
    582.83x = 307,494.42
  5. Step 5: Solve for x
    x = 307,494.42/582.83
  6. Step 6: Final answer
    x = 527.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.