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Finding the Fourth Proportional to 909.01, 1,363.49 and 259.75

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Solution

The fourth proportional to 909.01, 1,363.49 and 259.75 is: 389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.01 : 1,363.49 = 259.75 : x
  2. Step 2: Convert to fraction form
    909.01/1,363.49 = 259.75/x
  3. Step 3: Cross multiply
    909.01x = 1,363.49 × 259.75
  4. Step 4: Simplify right side
    909.01x = 354,158.41
  5. Step 5: Solve for x
    x = 354,158.41/909.01
  6. Step 6: Final answer
    x = 389.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.