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Finding the Fourth Proportional to 580.56, 871.52 and 466.42

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Solution

The fourth proportional to 580.56, 871.52 and 466.42 is: 700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.56 : 871.52 = 466.42 : x
  2. Step 2: Convert to fraction form
    580.56/871.52 = 466.42/x
  3. Step 3: Cross multiply
    580.56x = 871.52 × 466.42
  4. Step 4: Simplify right side
    580.56x = 406,489.85
  5. Step 5: Solve for x
    x = 406,489.85/580.56
  6. Step 6: Final answer
    x = 700.17

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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.