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Finding the Fourth Proportional to 275.83, 411.41 and 232.00

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Solution

The fourth proportional to 275.83, 411.41 and 232.00 is: 346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.83 : 411.41 = 232.00 : x
  2. Step 2: Convert to fraction form
    275.83/411.41 = 232.00/x
  3. Step 3: Cross multiply
    275.83x = 411.41 × 232.00
  4. Step 4: Simplify right side
    275.83x = 95,446.67
  5. Step 5: Solve for x
    x = 95,446.67/275.83
  6. Step 6: Final answer
    x = 346.04

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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.