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Finding the Fourth Proportional to 398.42, 549.33 and 267.14

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Solution

The fourth proportional to 398.42, 549.33 and 267.14 is: 368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.42 : 549.33 = 267.14 : x
  2. Step 2: Convert to fraction form
    398.42/549.33 = 267.14/x
  3. Step 3: Cross multiply
    398.42x = 549.33 × 267.14
  4. Step 4: Simplify right side
    398.42x = 146,748.02
  5. Step 5: Solve for x
    x = 146,748.02/398.42
  6. Step 6: Final answer
    x = 368.32

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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.