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Finding the Fourth Proportional to 582.74, 874.11 and 149.90

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Solution

The fourth proportional to 582.74, 874.11 and 149.90 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.74 : 874.11 = 149.90 : x
  2. Step 2: Convert to fraction form
    582.74/874.11 = 149.90/x
  3. Step 3: Cross multiply
    582.74x = 874.11 × 149.90
  4. Step 4: Simplify right side
    582.74x = 131,029.09
  5. Step 5: Solve for x
    x = 131,029.09/582.74
  6. Step 6: Final answer
    x = 224.85

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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.