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Finding the Fourth Proportional to 275.36, 410.38 and 259.56

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Solution

The fourth proportional to 275.36, 410.38 and 259.56 is: 386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.36 : 410.38 = 259.56 : x
  2. Step 2: Convert to fraction form
    275.36/410.38 = 259.56/x
  3. Step 3: Cross multiply
    275.36x = 410.38 × 259.56
  4. Step 4: Simplify right side
    275.36x = 106,518.23
  5. Step 5: Solve for x
    x = 106,518.23/275.36
  6. Step 6: Final answer
    x = 386.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.