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Finding the Fourth Proportional to 415.10, 623.02 and 232.68

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Solution

The fourth proportional to 415.10, 623.02 and 232.68 is: 349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.10 : 623.02 = 232.68 : x
  2. Step 2: Convert to fraction form
    415.10/623.02 = 232.68/x
  3. Step 3: Cross multiply
    415.10x = 623.02 × 232.68
  4. Step 4: Simplify right side
    415.10x = 144,964.29
  5. Step 5: Solve for x
    x = 144,964.29/415.10
  6. Step 6: Final answer
    x = 349.23

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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.