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Finding the Fourth Proportional to 580.42, 869.91 and 271.87

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Solution

The fourth proportional to 580.42, 869.91 and 271.87 is: 407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.42 : 869.91 = 271.87 : x
  2. Step 2: Convert to fraction form
    580.42/869.91 = 271.87/x
  3. Step 3: Cross multiply
    580.42x = 869.91 × 271.87
  4. Step 4: Simplify right side
    580.42x = 236,502.43
  5. Step 5: Solve for x
    x = 236,502.43/580.42
  6. Step 6: Final answer
    x = 407.47

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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.