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Finding the Fourth Proportional to 275.28, 413.76 and 230.24

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Solution

The fourth proportional to 275.28, 413.76 and 230.24 is: 346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.28 : 413.76 = 230.24 : x
  2. Step 2: Convert to fraction form
    275.28/413.76 = 230.24/x
  3. Step 3: Cross multiply
    275.28x = 413.76 × 230.24
  4. Step 4: Simplify right side
    275.28x = 95,264.10
  5. Step 5: Solve for x
    x = 95,264.10/275.28
  6. Step 6: Final answer
    x = 346.06

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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.