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Finding the Fourth Proportional to 580.13, 869.52 and 271.70

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Solution

The fourth proportional to 580.13, 869.52 and 271.70 is: 407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.13 : 869.52 = 271.70 : x
  2. Step 2: Convert to fraction form
    580.13/869.52 = 271.70/x
  3. Step 3: Cross multiply
    580.13x = 869.52 × 271.70
  4. Step 4: Simplify right side
    580.13x = 236,248.58
  5. Step 5: Solve for x
    x = 236,248.58/580.13
  6. Step 6: Final answer
    x = 407.23

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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.