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Finding the Fourth Proportional to 398.48, 549.78 and 267.62

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Solution

The fourth proportional to 398.48, 549.78 and 267.62 is: 369.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.48 : 549.78 = 267.62 : x
  2. Step 2: Convert to fraction form
    398.48/549.78 = 267.62/x
  3. Step 3: Cross multiply
    398.48x = 549.78 × 267.62
  4. Step 4: Simplify right side
    398.48x = 147,132.12
  5. Step 5: Solve for x
    x = 147,132.12/398.48
  6. Step 6: Final answer
    x = 369.23

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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.