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Finding the Fourth Proportional to 559.48, 839.20 and 267.12

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Solution

The fourth proportional to 559.48, 839.20 and 267.12 is: 400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.48 : 839.20 = 267.12 : x
  2. Step 2: Convert to fraction form
    559.48/839.20 = 267.12/x
  3. Step 3: Cross multiply
    559.48x = 839.20 × 267.12
  4. Step 4: Simplify right side
    559.48x = 224,167.10
  5. Step 5: Solve for x
    x = 224,167.10/559.48
  6. Step 6: Final answer
    x = 400.67

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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.