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Finding the Fourth Proportional to 911.68, 1,366.96 and 334.40

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Solution

The fourth proportional to 911.68, 1,366.96 and 334.40 is: 501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.68 : 1,366.96 = 334.40 : x
  2. Step 2: Convert to fraction form
    911.68/1,366.96 = 334.40/x
  3. Step 3: Cross multiply
    911.68x = 1,366.96 × 334.40
  4. Step 4: Simplify right side
    911.68x = 457,111.42
  5. Step 5: Solve for x
    x = 457,111.42/911.68
  6. Step 6: Final answer
    x = 501.39

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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.