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Finding the Fourth Proportional to 909.16, 1,363.74 and 259.88

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Solution

The fourth proportional to 909.16, 1,363.74 and 259.88 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.16 : 1,363.74 = 259.88 : x
  2. Step 2: Convert to fraction form
    909.16/1,363.74 = 259.88/x
  3. Step 3: Cross multiply
    909.16x = 1,363.74 × 259.88
  4. Step 4: Simplify right side
    909.16x = 354,408.75
  5. Step 5: Solve for x
    x = 354,408.75/909.16
  6. Step 6: Final answer
    x = 389.82

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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.