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Finding the Fourth Proportional to 275.46, 413.20 and 207.35

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Solution

The fourth proportional to 275.46, 413.20 and 207.35 is: 311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.46 : 413.20 = 207.35 : x
  2. Step 2: Convert to fraction form
    275.46/413.20 = 207.35/x
  3. Step 3: Cross multiply
    275.46x = 413.20 × 207.35
  4. Step 4: Simplify right side
    275.46x = 85,677.02
  5. Step 5: Solve for x
    x = 85,677.02/275.46
  6. Step 6: Final answer
    x = 311.03

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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.