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Finding the Fourth Proportional to 638.36, 956.84 and 363.85

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Solution

The fourth proportional to 638.36, 956.84 and 363.85 is: 545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.36 : 956.84 = 363.85 : x
  2. Step 2: Convert to fraction form
    638.36/956.84 = 363.85/x
  3. Step 3: Cross multiply
    638.36x = 956.84 × 363.85
  4. Step 4: Simplify right side
    638.36x = 348,148.34
  5. Step 5: Solve for x
    x = 348,148.34/638.36
  6. Step 6: Final answer
    x = 545.38

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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.