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Finding the Fourth Proportional to 415.81, 623.31 and 233.02

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Solution

The fourth proportional to 415.81, 623.31 and 233.02 is: 349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.81 : 623.31 = 233.02 : x
  2. Step 2: Convert to fraction form
    415.81/623.31 = 233.02/x
  3. Step 3: Cross multiply
    415.81x = 623.31 × 233.02
  4. Step 4: Simplify right side
    415.81x = 145,243.70
  5. Step 5: Solve for x
    x = 145,243.70/415.81
  6. Step 6: Final answer
    x = 349.30

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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.