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Finding the Fourth Proportional to 466.20, 698.90 and 417.60

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Solution

The fourth proportional to 466.20, 698.90 and 417.60 is: 626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.20 : 698.90 = 417.60 : x
  2. Step 2: Convert to fraction form
    466.20/698.90 = 417.60/x
  3. Step 3: Cross multiply
    466.20x = 698.90 × 417.60
  4. Step 4: Simplify right side
    466.20x = 291,860.64
  5. Step 5: Solve for x
    x = 291,860.64/466.20
  6. Step 6: Final answer
    x = 626.04

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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.