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Finding the Fourth Proportional to 581.36, 871.26 and 306.86

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Solution

The fourth proportional to 581.36, 871.26 and 306.86 is: 459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.36 : 871.26 = 306.86 : x
  2. Step 2: Convert to fraction form
    581.36/871.26 = 306.86/x
  3. Step 3: Cross multiply
    581.36x = 871.26 × 306.86
  4. Step 4: Simplify right side
    581.36x = 267,354.84
  5. Step 5: Solve for x
    x = 267,354.84/581.36
  6. Step 6: Final answer
    x = 459.88

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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.