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Finding the Fourth Proportional to 432, 647.08 and 269.48

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Solution

The fourth proportional to 432, 647.08 and 269.48 is: 403.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432 : 647.08 = 269.48 : x
  2. Step 2: Convert to fraction form
    432/647.08 = 269.48/x
  3. Step 3: Cross multiply
    432x = 647.08 × 269.48
  4. Step 4: Simplify right side
    432x = 174,375.12
  5. Step 5: Solve for x
    x = 174,375.12/432
  6. Step 6: Final answer
    x = 403.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.