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Finding the Fourth Proportional to 415.78, 623.06 and 232.92

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Solution

The fourth proportional to 415.78, 623.06 and 232.92 is: 349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.78 : 623.06 = 232.92 : x
  2. Step 2: Convert to fraction form
    415.78/623.06 = 232.92/x
  3. Step 3: Cross multiply
    415.78x = 623.06 × 232.92
  4. Step 4: Simplify right side
    415.78x = 145,123.14
  5. Step 5: Solve for x
    x = 145,123.14/415.78
  6. Step 6: Final answer
    x = 349.04

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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.