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Finding the Fourth Proportional to 275.46, 410.30 and 231.18

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Solution

The fourth proportional to 275.46, 410.30 and 231.18 is: 344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.46 : 410.30 = 231.18 : x
  2. Step 2: Convert to fraction form
    275.46/410.30 = 231.18/x
  3. Step 3: Cross multiply
    275.46x = 410.30 × 231.18
  4. Step 4: Simplify right side
    275.46x = 94,852.00
  5. Step 5: Solve for x
    x = 94,852.00/275.46
  6. Step 6: Final answer
    x = 344.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.