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Finding the Fourth Proportional to 275.70, 413.57 and 214.71

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Solution

The fourth proportional to 275.70, 413.57 and 214.71 is: 322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.70 : 413.57 = 214.71 : x
  2. Step 2: Convert to fraction form
    275.70/413.57 = 214.71/x
  3. Step 3: Cross multiply
    275.70x = 413.57 × 214.71
  4. Step 4: Simplify right side
    275.70x = 88,797.61
  5. Step 5: Solve for x
    x = 88,797.61/275.70
  6. Step 6: Final answer
    x = 322.08

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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.