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Finding the Fourth Proportional to 732.24, 1,097.46 and 342

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Solution

The fourth proportional to 732.24, 1,097.46 and 342 is: 512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.24 : 1,097.46 = 342 : x
  2. Step 2: Convert to fraction form
    732.24/1,097.46 = 342/x
  3. Step 3: Cross multiply
    732.24x = 1,097.46 × 342
  4. Step 4: Simplify right side
    732.24x = 375,331.32
  5. Step 5: Solve for x
    x = 375,331.32/732.24
  6. Step 6: Final answer
    x = 512.58

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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.