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Finding the Fourth Proportional to 415.36, 622.36 and 209.72

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Solution

The fourth proportional to 415.36, 622.36 and 209.72 is: 314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.36 : 622.36 = 209.72 : x
  2. Step 2: Convert to fraction form
    415.36/622.36 = 209.72/x
  3. Step 3: Cross multiply
    415.36x = 622.36 × 209.72
  4. Step 4: Simplify right side
    415.36x = 130,521.34
  5. Step 5: Solve for x
    x = 130,521.34/415.36
  6. Step 6: Final answer
    x = 314.24

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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.