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Finding the Fourth Proportional to 909.23, 1,363.84 and 259.94

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Solution

The fourth proportional to 909.23, 1,363.84 and 259.94 is: 389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.23 : 1,363.84 = 259.94 : x
  2. Step 2: Convert to fraction form
    909.23/1,363.84 = 259.94/x
  3. Step 3: Cross multiply
    909.23x = 1,363.84 × 259.94
  4. Step 4: Simplify right side
    909.23x = 354,519.33
  5. Step 5: Solve for x
    x = 354,519.33/909.23
  6. Step 6: Final answer
    x = 389.91

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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.