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Finding the Fourth Proportional to 415.67, 623.30 and 261.72

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Solution

The fourth proportional to 415.67, 623.30 and 261.72 is: 392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.67 : 623.30 = 261.72 : x
  2. Step 2: Convert to fraction form
    415.67/623.30 = 261.72/x
  3. Step 3: Cross multiply
    415.67x = 623.30 × 261.72
  4. Step 4: Simplify right side
    415.67x = 163,126.96
  5. Step 5: Solve for x
    x = 163,126.96/415.67
  6. Step 6: Final answer
    x = 392.44

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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.