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Finding the Fourth Proportional to 432.39, 596.19 and 349.24

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Solution

The fourth proportional to 432.39, 596.19 and 349.24 is: 481.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.39 : 596.19 = 349.24 : x
  2. Step 2: Convert to fraction form
    432.39/596.19 = 349.24/x
  3. Step 3: Cross multiply
    432.39x = 596.19 × 349.24
  4. Step 4: Simplify right side
    432.39x = 208,209.71
  5. Step 5: Solve for x
    x = 208,209.71/432.39
  6. Step 6: Final answer
    x = 481.53

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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.