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Finding the Fourth Proportional to 285.66, 426.06 and 267.30

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Solution

The fourth proportional to 285.66, 426.06 and 267.30 is: 398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.66 : 426.06 = 267.30 : x
  2. Step 2: Convert to fraction form
    285.66/426.06 = 267.30/x
  3. Step 3: Cross multiply
    285.66x = 426.06 × 267.30
  4. Step 4: Simplify right side
    285.66x = 113,885.84
  5. Step 5: Solve for x
    x = 113,885.84/285.66
  6. Step 6: Final answer
    x = 398.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.