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Finding the Fourth Proportional to 732.23, 1,097.62 and 293.16

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Solution

The fourth proportional to 732.23, 1,097.62 and 293.16 is: 439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.23 : 1,097.62 = 293.16 : x
  2. Step 2: Convert to fraction form
    732.23/1,097.62 = 293.16/x
  3. Step 3: Cross multiply
    732.23x = 1,097.62 × 293.16
  4. Step 4: Simplify right side
    732.23x = 321,778.28
  5. Step 5: Solve for x
    x = 321,778.28/732.23
  6. Step 6: Final answer
    x = 439.45

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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.