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Finding the Fourth Proportional to 288.66, 398.49 and 270.24

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Solution

The fourth proportional to 288.66, 398.49 and 270.24 is: 373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.66 : 398.49 = 270.24 : x
  2. Step 2: Convert to fraction form
    288.66/398.49 = 270.24/x
  3. Step 3: Cross multiply
    288.66x = 398.49 × 270.24
  4. Step 4: Simplify right side
    288.66x = 107,687.94
  5. Step 5: Solve for x
    x = 107,687.94/288.66
  6. Step 6: Final answer
    x = 373.06

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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.