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Finding the Fourth Proportional to 488.20, 733.05 and 411.76

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Solution

The fourth proportional to 488.20, 733.05 and 411.76 is: 618.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.20 : 733.05 = 411.76 : x
  2. Step 2: Convert to fraction form
    488.20/733.05 = 411.76/x
  3. Step 3: Cross multiply
    488.20x = 733.05 × 411.76
  4. Step 4: Simplify right side
    488.20x = 301,840.67
  5. Step 5: Solve for x
    x = 301,840.67/488.20
  6. Step 6: Final answer
    x = 618.27

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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.