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Finding the Fourth Proportional to 472.64, 709.63 and 267.61

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Solution

The fourth proportional to 472.64, 709.63 and 267.61 is: 401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.64 : 709.63 = 267.61 : x
  2. Step 2: Convert to fraction form
    472.64/709.63 = 267.61/x
  3. Step 3: Cross multiply
    472.64x = 709.63 × 267.61
  4. Step 4: Simplify right side
    472.64x = 189,904.08
  5. Step 5: Solve for x
    x = 189,904.08/472.64
  6. Step 6: Final answer
    x = 401.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.