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Finding the Fourth Proportional to 415.16, 622.37 and 232.82

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Solution

The fourth proportional to 415.16, 622.37 and 232.82 is: 349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.16 : 622.37 = 232.82 : x
  2. Step 2: Convert to fraction form
    415.16/622.37 = 232.82/x
  3. Step 3: Cross multiply
    415.16x = 622.37 × 232.82
  4. Step 4: Simplify right side
    415.16x = 144,897.65
  5. Step 5: Solve for x
    x = 144,897.65/415.16
  6. Step 6: Final answer
    x = 349.02

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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.