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Finding the Fourth Proportional to 580.39, 868.87 and 374.35

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Solution

The fourth proportional to 580.39, 868.87 and 374.35 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.39 : 868.87 = 374.35 : x
  2. Step 2: Convert to fraction form
    580.39/868.87 = 374.35/x
  3. Step 3: Cross multiply
    580.39x = 868.87 × 374.35
  4. Step 4: Simplify right side
    580.39x = 325,261.48
  5. Step 5: Solve for x
    x = 325,261.48/580.39
  6. Step 6: Final answer
    x = 560.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.