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Finding the Fourth Proportional to 432.82, 600.38 and 417.70

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Solution

The fourth proportional to 432.82, 600.38 and 417.70 is: 579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.82 : 600.38 = 417.70 : x
  2. Step 2: Convert to fraction form
    432.82/600.38 = 417.70/x
  3. Step 3: Cross multiply
    432.82x = 600.38 × 417.70
  4. Step 4: Simplify right side
    432.82x = 250,778.73
  5. Step 5: Solve for x
    x = 250,778.73/432.82
  6. Step 6: Final answer
    x = 579.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.