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Finding the Fourth Proportional to 580.13, 871.10 and 374.79

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Solution

The fourth proportional to 580.13, 871.10 and 374.79 is: 562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.13 : 871.10 = 374.79 : x
  2. Step 2: Convert to fraction form
    580.13/871.10 = 374.79/x
  3. Step 3: Cross multiply
    580.13x = 871.10 × 374.79
  4. Step 4: Simplify right side
    580.13x = 326,479.57
  5. Step 5: Solve for x
    x = 326,479.57/580.13
  6. Step 6: Final answer
    x = 562.77

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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.