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Finding the Fourth Proportional to 275.31, 413.42 and 230.01

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Solution

The fourth proportional to 275.31, 413.42 and 230.01 is: 345.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.31 : 413.42 = 230.01 : x
  2. Step 2: Convert to fraction form
    275.31/413.42 = 230.01/x
  3. Step 3: Cross multiply
    275.31x = 413.42 × 230.01
  4. Step 4: Simplify right side
    275.31x = 95,090.73
  5. Step 5: Solve for x
    x = 95,090.73/275.31
  6. Step 6: Final answer
    x = 345.40

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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.