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Finding the Fourth Proportional to 382.90, 572.82 and 332.18

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Solution

The fourth proportional to 382.90, 572.82 and 332.18 is: 496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.90 : 572.82 = 332.18 : x
  2. Step 2: Convert to fraction form
    382.90/572.82 = 332.18/x
  3. Step 3: Cross multiply
    382.90x = 572.82 × 332.18
  4. Step 4: Simplify right side
    382.90x = 190,279.35
  5. Step 5: Solve for x
    x = 190,279.35/382.90
  6. Step 6: Final answer
    x = 496.94

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Why These Related Problems?

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