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Finding the Fourth Proportional to 288.28, 397.74 and 260.56

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Solution

The fourth proportional to 288.28, 397.74 and 260.56 is: 359.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.28 : 397.74 = 260.56 : x
  2. Step 2: Convert to fraction form
    288.28/397.74 = 260.56/x
  3. Step 3: Cross multiply
    288.28x = 397.74 × 260.56
  4. Step 4: Simplify right side
    288.28x = 103,635.13
  5. Step 5: Solve for x
    x = 103,635.13/288.28
  6. Step 6: Final answer
    x = 359.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.