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Finding the Fourth Proportional to 398.46, 549.57 and 267.42

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Solution

The fourth proportional to 398.46, 549.57 and 267.42 is: 368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.46 : 549.57 = 267.42 : x
  2. Step 2: Convert to fraction form
    398.46/549.57 = 267.42/x
  3. Step 3: Cross multiply
    398.46x = 549.57 × 267.42
  4. Step 4: Simplify right side
    398.46x = 146,966.01
  5. Step 5: Solve for x
    x = 146,966.01/398.46
  6. Step 6: Final answer
    x = 368.84

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