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Finding the Fourth Proportional to 473.89, 709.34 and 267.85

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Solution

The fourth proportional to 473.89, 709.34 and 267.85 is: 400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.89 : 709.34 = 267.85 : x
  2. Step 2: Convert to fraction form
    473.89/709.34 = 267.85/x
  3. Step 3: Cross multiply
    473.89x = 709.34 × 267.85
  4. Step 4: Simplify right side
    473.89x = 189,991.83
  5. Step 5: Solve for x
    x = 189,991.83/473.89
  6. Step 6: Final answer
    x = 400.92

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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.