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Finding the Fourth Proportional to 415.72, 623.22 and 209.92

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Solution

The fourth proportional to 415.72, 623.22 and 209.92 is: 314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.72 : 623.22 = 209.92 : x
  2. Step 2: Convert to fraction form
    415.72/623.22 = 209.92/x
  3. Step 3: Cross multiply
    415.72x = 623.22 × 209.92
  4. Step 4: Simplify right side
    415.72x = 130,826.34
  5. Step 5: Solve for x
    x = 130,826.34/415.72
  6. Step 6: Final answer
    x = 314.70

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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.