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Finding the Fourth Proportional to 306.66, 424.35 and 267.96

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Solution

The fourth proportional to 306.66, 424.35 and 267.96 is: 370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.66 : 424.35 = 267.96 : x
  2. Step 2: Convert to fraction form
    306.66/424.35 = 267.96/x
  3. Step 3: Cross multiply
    306.66x = 424.35 × 267.96
  4. Step 4: Simplify right side
    306.66x = 113,708.83
  5. Step 5: Solve for x
    x = 113,708.83/306.66
  6. Step 6: Final answer
    x = 370.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.