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Finding the Fourth Proportional to 415.62, 622.91 and 210.24

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Solution

The fourth proportional to 415.62, 622.91 and 210.24 is: 315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.62 : 622.91 = 210.24 : x
  2. Step 2: Convert to fraction form
    415.62/622.91 = 210.24/x
  3. Step 3: Cross multiply
    415.62x = 622.91 × 210.24
  4. Step 4: Simplify right side
    415.62x = 130,959.55
  5. Step 5: Solve for x
    x = 130,959.55/415.62
  6. Step 6: Final answer
    x = 315.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.