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Finding the Fourth Proportional to 275.64, 412.98 and 232.44

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Solution

The fourth proportional to 275.64, 412.98 and 232.44 is: 348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.64 : 412.98 = 232.44 : x
  2. Step 2: Convert to fraction form
    275.64/412.98 = 232.44/x
  3. Step 3: Cross multiply
    275.64x = 412.98 × 232.44
  4. Step 4: Simplify right side
    275.64x = 95,993.07
  5. Step 5: Solve for x
    x = 95,993.07/275.64
  6. Step 6: Final answer
    x = 348.26

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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.