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Finding the Fourth Proportional to 432.96, 597.24 and 267.21

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Solution

The fourth proportional to 432.96, 597.24 and 267.21 is: 368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.96 : 597.24 = 267.21 : x
  2. Step 2: Convert to fraction form
    432.96/597.24 = 267.21/x
  3. Step 3: Cross multiply
    432.96x = 597.24 × 267.21
  4. Step 4: Simplify right side
    432.96x = 159,588.50
  5. Step 5: Solve for x
    x = 159,588.50/432.96
  6. Step 6: Final answer
    x = 368.60

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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.