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Finding the Fourth Proportional to 580.56, 869.40 and 418.16

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Solution

The fourth proportional to 580.56, 869.40 and 418.16 is: 626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.56 : 869.40 = 418.16 : x
  2. Step 2: Convert to fraction form
    580.56/869.40 = 418.16/x
  3. Step 3: Cross multiply
    580.56x = 869.40 × 418.16
  4. Step 4: Simplify right side
    580.56x = 363,548.30
  5. Step 5: Solve for x
    x = 363,548.30/580.56
  6. Step 6: Final answer
    x = 626.20

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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.