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Finding the Fourth Proportional to 432.70, 597.16 and 327.62

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Solution

The fourth proportional to 432.70, 597.16 and 327.62 is: 452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.70 : 597.16 = 327.62 : x
  2. Step 2: Convert to fraction form
    432.70/597.16 = 327.62/x
  3. Step 3: Cross multiply
    432.70x = 597.16 × 327.62
  4. Step 4: Simplify right side
    432.70x = 195,641.56
  5. Step 5: Solve for x
    x = 195,641.56/432.70
  6. Step 6: Final answer
    x = 452.14

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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.