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Finding the Fourth Proportional to 468.20, 698.41 and 414.20

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Solution

The fourth proportional to 468.20, 698.41 and 414.20 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.20 : 698.41 = 414.20 : x
  2. Step 2: Convert to fraction form
    468.20/698.41 = 414.20/x
  3. Step 3: Cross multiply
    468.20x = 698.41 × 414.20
  4. Step 4: Simplify right side
    468.20x = 289,281.42
  5. Step 5: Solve for x
    x = 289,281.42/468.20
  6. Step 6: Final answer
    x = 617.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.