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Finding the Fourth Proportional to 582.60, 871.38 and 566.88

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Solution

The fourth proportional to 582.60, 871.38 and 566.88 is: 847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.60 : 871.38 = 566.88 : x
  2. Step 2: Convert to fraction form
    582.60/871.38 = 566.88/x
  3. Step 3: Cross multiply
    582.60x = 871.38 × 566.88
  4. Step 4: Simplify right side
    582.60x = 493,967.89
  5. Step 5: Solve for x
    x = 493,967.89/582.60
  6. Step 6: Final answer
    x = 847.87

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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.