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Finding the Fourth Proportional to 466.17, 699.38 and 415.16

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Solution

The fourth proportional to 466.17, 699.38 and 415.16 is: 622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.17 : 699.38 = 415.16 : x
  2. Step 2: Convert to fraction form
    466.17/699.38 = 415.16/x
  3. Step 3: Cross multiply
    466.17x = 699.38 × 415.16
  4. Step 4: Simplify right side
    466.17x = 290,351.65
  5. Step 5: Solve for x
    x = 290,351.65/466.17
  6. Step 6: Final answer
    x = 622.85

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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.