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Finding the Fourth Proportional to 461.06, 690.90 and 363.78

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Solution

The fourth proportional to 461.06, 690.90 and 363.78 is: 545.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.06 : 690.90 = 363.78 : x
  2. Step 2: Convert to fraction form
    461.06/690.90 = 363.78/x
  3. Step 3: Cross multiply
    461.06x = 690.90 × 363.78
  4. Step 4: Simplify right side
    461.06x = 251,335.60
  5. Step 5: Solve for x
    x = 251,335.60/461.06
  6. Step 6: Final answer
    x = 545.13

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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.