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Finding the Fourth Proportional to 732.26, 1,097.68 and 293.39

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Solution

The fourth proportional to 732.26, 1,097.68 and 293.39 is: 439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.26 : 1,097.68 = 293.39 : x
  2. Step 2: Convert to fraction form
    732.26/1,097.68 = 293.39/x
  3. Step 3: Cross multiply
    732.26x = 1,097.68 × 293.39
  4. Step 4: Simplify right side
    732.26x = 322,048.34
  5. Step 5: Solve for x
    x = 322,048.34/732.26
  6. Step 6: Final answer
    x = 439.80

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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.