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Finding the Fourth Proportional to 463.35, 693.90 and 267.76

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Solution

The fourth proportional to 463.35, 693.90 and 267.76 is: 400.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.35 : 693.90 = 267.76 : x
  2. Step 2: Convert to fraction form
    463.35/693.90 = 267.76/x
  3. Step 3: Cross multiply
    463.35x = 693.90 × 267.76
  4. Step 4: Simplify right side
    463.35x = 185,798.66
  5. Step 5: Solve for x
    x = 185,798.66/463.35
  6. Step 6: Final answer
    x = 400.99

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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.