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Finding the Fourth Proportional to 580.53, 871.17 and 306.54

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Solution

The fourth proportional to 580.53, 871.17 and 306.54 is: 460.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.53 : 871.17 = 306.54 : x
  2. Step 2: Convert to fraction form
    580.53/871.17 = 306.54/x
  3. Step 3: Cross multiply
    580.53x = 871.17 × 306.54
  4. Step 4: Simplify right side
    580.53x = 267,048.45
  5. Step 5: Solve for x
    x = 267,048.45/580.53
  6. Step 6: Final answer
    x = 460.01

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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.