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Finding the Fourth Proportional to 909.05, 1,363.19 and 446.69

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Solution

The fourth proportional to 909.05, 1,363.19 and 446.69 is: 669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.05 : 1,363.19 = 446.69 : x
  2. Step 2: Convert to fraction form
    909.05/1,363.19 = 446.69/x
  3. Step 3: Cross multiply
    909.05x = 1,363.19 × 446.69
  4. Step 4: Simplify right side
    909.05x = 608,923.34
  5. Step 5: Solve for x
    x = 608,923.34/909.05
  6. Step 6: Final answer
    x = 669.85

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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.