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Finding the Fourth Proportional to 580.97, 871.91 and 307.16

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Solution

The fourth proportional to 580.97, 871.91 and 307.16 is: 460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.97 : 871.91 = 307.16 : x
  2. Step 2: Convert to fraction form
    580.97/871.91 = 307.16/x
  3. Step 3: Cross multiply
    580.97x = 871.91 × 307.16
  4. Step 4: Simplify right side
    580.97x = 267,809.98
  5. Step 5: Solve for x
    x = 267,809.98/580.97
  6. Step 6: Final answer
    x = 460.97

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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.