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Finding the Fourth Proportional to 465.90, 698.85 and 414.60

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Solution

The fourth proportional to 465.90, 698.85 and 414.60 is: 621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.90 : 698.85 = 414.60 : x
  2. Step 2: Convert to fraction form
    465.90/698.85 = 414.60/x
  3. Step 3: Cross multiply
    465.90x = 698.85 × 414.60
  4. Step 4: Simplify right side
    465.90x = 289,743.21
  5. Step 5: Solve for x
    x = 289,743.21/465.90
  6. Step 6: Final answer
    x = 621.90

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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.