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Finding the Fourth Proportional to 456.89, 686.04 and 275.09

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Solution

The fourth proportional to 456.89, 686.04 and 275.09 is: 413.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.89 : 686.04 = 275.09 : x
  2. Step 2: Convert to fraction form
    456.89/686.04 = 275.09/x
  3. Step 3: Cross multiply
    456.89x = 686.04 × 275.09
  4. Step 4: Simplify right side
    456.89x = 188,721.37
  5. Step 5: Solve for x
    x = 188,721.37/456.89
  6. Step 6: Final answer
    x = 413.06

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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.