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Finding the Fourth Proportional to 732.22, 1,097.40 and 366.52

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Solution

The fourth proportional to 732.22, 1,097.40 and 366.52 is: 549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.22 : 1,097.40 = 366.52 : x
  2. Step 2: Convert to fraction form
    732.22/1,097.40 = 366.52/x
  3. Step 3: Cross multiply
    732.22x = 1,097.40 × 366.52
  4. Step 4: Simplify right side
    732.22x = 402,219.05
  5. Step 5: Solve for x
    x = 402,219.05/732.22
  6. Step 6: Final answer
    x = 549.31

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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.