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Finding the Fourth Proportional to 415.23, 623.42 and 232.74

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Solution

The fourth proportional to 415.23, 623.42 and 232.74 is: 349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.23 : 623.42 = 232.74 : x
  2. Step 2: Convert to fraction form
    415.23/623.42 = 232.74/x
  3. Step 3: Cross multiply
    415.23x = 623.42 × 232.74
  4. Step 4: Simplify right side
    415.23x = 145,094.77
  5. Step 5: Solve for x
    x = 145,094.77/415.23
  6. Step 6: Final answer
    x = 349.43

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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.