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Finding the Fourth Proportional to 461.03, 690.53 and 244.15

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Solution

The fourth proportional to 461.03, 690.53 and 244.15 is: 365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.03 : 690.53 = 244.15 : x
  2. Step 2: Convert to fraction form
    461.03/690.53 = 244.15/x
  3. Step 3: Cross multiply
    461.03x = 690.53 × 244.15
  4. Step 4: Simplify right side
    461.03x = 168,589.95
  5. Step 5: Solve for x
    x = 168,589.95/461.03
  6. Step 6: Final answer
    x = 365.69

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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.