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Finding the Fourth Proportional to 355.50, 534.24 and 275.31

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Solution

The fourth proportional to 355.50, 534.24 and 275.31 is: 413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.50 : 534.24 = 275.31 : x
  2. Step 2: Convert to fraction form
    355.50/534.24 = 275.31/x
  3. Step 3: Cross multiply
    355.50x = 534.24 × 275.31
  4. Step 4: Simplify right side
    355.50x = 147,081.61
  5. Step 5: Solve for x
    x = 147,081.61/355.50
  6. Step 6: Final answer
    x = 413.73

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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.