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Finding the Fourth Proportional to 580.16, 869.76 and 271.85

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Solution

The fourth proportional to 580.16, 869.76 and 271.85 is: 407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.16 : 869.76 = 271.85 : x
  2. Step 2: Convert to fraction form
    580.16/869.76 = 271.85/x
  3. Step 3: Cross multiply
    580.16x = 869.76 × 271.85
  4. Step 4: Simplify right side
    580.16x = 236,446.43
  5. Step 5: Solve for x
    x = 236,446.43/580.16
  6. Step 6: Final answer
    x = 407.55

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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.