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Finding the Fourth Proportional to 582.10, 871.58 and 426.85

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Solution

The fourth proportional to 582.10, 871.58 and 426.85 is: 639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.10 : 871.58 = 426.85 : x
  2. Step 2: Convert to fraction form
    582.10/871.58 = 426.85/x
  3. Step 3: Cross multiply
    582.10x = 871.58 × 426.85
  4. Step 4: Simplify right side
    582.10x = 372,033.92
  5. Step 5: Solve for x
    x = 372,033.92/582.10
  6. Step 6: Final answer
    x = 639.12

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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.