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Finding the Fourth Proportional to 588.64, 871.90 and 582.16

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Solution

The fourth proportional to 588.64, 871.90 and 582.16 is: 862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.64 : 871.90 = 582.16 : x
  2. Step 2: Convert to fraction form
    588.64/871.90 = 582.16/x
  3. Step 3: Cross multiply
    588.64x = 871.90 × 582.16
  4. Step 4: Simplify right side
    588.64x = 507,585.30
  5. Step 5: Solve for x
    x = 507,585.30/588.64
  6. Step 6: Final answer
    x = 862.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.