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Finding the Fourth Proportional to 912.24, 1,367.76 and 363.76

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Solution

The fourth proportional to 912.24, 1,367.76 and 363.76 is: 545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.24 : 1,367.76 = 363.76 : x
  2. Step 2: Convert to fraction form
    912.24/1,367.76 = 363.76/x
  3. Step 3: Cross multiply
    912.24x = 1,367.76 × 363.76
  4. Step 4: Simplify right side
    912.24x = 497,536.38
  5. Step 5: Solve for x
    x = 497,536.38/912.24
  6. Step 6: Final answer
    x = 545.40

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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.