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Finding the Fourth Proportional to 909.01, 1,363.66 and 361.19

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Solution

The fourth proportional to 909.01, 1,363.66 and 361.19 is: 541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.01 : 1,363.66 = 361.19 : x
  2. Step 2: Convert to fraction form
    909.01/1,363.66 = 361.19/x
  3. Step 3: Cross multiply
    909.01x = 1,363.66 × 361.19
  4. Step 4: Simplify right side
    909.01x = 492,542.86
  5. Step 5: Solve for x
    x = 492,542.86/909.01
  6. Step 6: Final answer
    x = 541.85

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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.