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Finding the Fourth Proportional to 911.83, 1,367.61 and 334.71

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Solution

The fourth proportional to 911.83, 1,367.61 and 334.71 is: 502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.83 : 1,367.61 = 334.71 : x
  2. Step 2: Convert to fraction form
    911.83/1,367.61 = 334.71/x
  3. Step 3: Cross multiply
    911.83x = 1,367.61 × 334.71
  4. Step 4: Simplify right side
    911.83x = 457,752.74
  5. Step 5: Solve for x
    x = 457,752.74/911.83
  6. Step 6: Final answer
    x = 502.02

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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.