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Finding the Fourth Proportional to 337.47, 465.14 and 267.20

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Solution

The fourth proportional to 337.47, 465.14 and 267.20 is: 368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.47 : 465.14 = 267.20 : x
  2. Step 2: Convert to fraction form
    337.47/465.14 = 267.20/x
  3. Step 3: Cross multiply
    337.47x = 465.14 × 267.20
  4. Step 4: Simplify right side
    337.47x = 124,285.41
  5. Step 5: Solve for x
    x = 124,285.41/337.47
  6. Step 6: Final answer
    x = 368.29

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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.