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Finding the Fourth Proportional to 347.88, 520.80 and 267.66

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Solution

The fourth proportional to 347.88, 520.80 and 267.66 is: 400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.88 : 520.80 = 267.66 : x
  2. Step 2: Convert to fraction form
    347.88/520.80 = 267.66/x
  3. Step 3: Cross multiply
    347.88x = 520.80 × 267.66
  4. Step 4: Simplify right side
    347.88x = 139,397.33
  5. Step 5: Solve for x
    x = 139,397.33/347.88
  6. Step 6: Final answer
    x = 400.71

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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.