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Finding the Fourth Proportional to 909.79, 1,363.85 and 362.36

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Solution

The fourth proportional to 909.79, 1,363.85 and 362.36 is: 543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.79 : 1,363.85 = 362.36 : x
  2. Step 2: Convert to fraction form
    909.79/1,363.85 = 362.36/x
  3. Step 3: Cross multiply
    909.79x = 1,363.85 × 362.36
  4. Step 4: Simplify right side
    909.79x = 494,204.69
  5. Step 5: Solve for x
    x = 494,204.69/909.79
  6. Step 6: Final answer
    x = 543.21

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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.