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Finding the Fourth Proportional to 432.68, 597.27 and 267.05

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Solution

The fourth proportional to 432.68, 597.27 and 267.05 is: 368.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.68 : 597.27 = 267.05 : x
  2. Step 2: Convert to fraction form
    432.68/597.27 = 267.05/x
  3. Step 3: Cross multiply
    432.68x = 597.27 × 267.05
  4. Step 4: Simplify right side
    432.68x = 159,500.95
  5. Step 5: Solve for x
    x = 159,500.95/432.68
  6. Step 6: Final answer
    x = 368.63

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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.