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Finding the Fourth Proportional to 407.34, 562.17 and 267.57

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Solution

The fourth proportional to 407.34, 562.17 and 267.57 is: 369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.34 : 562.17 = 267.57 : x
  2. Step 2: Convert to fraction form
    407.34/562.17 = 267.57/x
  3. Step 3: Cross multiply
    407.34x = 562.17 × 267.57
  4. Step 4: Simplify right side
    407.34x = 150,419.83
  5. Step 5: Solve for x
    x = 150,419.83/407.34
  6. Step 6: Final answer
    x = 369.27

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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.