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Finding the Fourth Proportional to 909.23, 1,363.77 and 422.15

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Solution

The fourth proportional to 909.23, 1,363.77 and 422.15 is: 633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.23 : 1,363.77 = 422.15 : x
  2. Step 2: Convert to fraction form
    909.23/1,363.77 = 422.15/x
  3. Step 3: Cross multiply
    909.23x = 1,363.77 × 422.15
  4. Step 4: Simplify right side
    909.23x = 575,708.69
  5. Step 5: Solve for x
    x = 575,708.69/909.23
  6. Step 6: Final answer
    x = 633.19

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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.