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Finding the Fourth Proportional to 432.61, 597.31 and 267.05

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Solution

The fourth proportional to 432.61, 597.31 and 267.05 is: 368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.61 : 597.31 = 267.05 : x
  2. Step 2: Convert to fraction form
    432.61/597.31 = 267.05/x
  3. Step 3: Cross multiply
    432.61x = 597.31 × 267.05
  4. Step 4: Simplify right side
    432.61x = 159,507.98
  5. Step 5: Solve for x
    x = 159,507.98/432.61
  6. Step 6: Final answer
    x = 368.71

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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.