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Finding the Fourth Proportional to 288.48, 398.16 and 270.72

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Solution

The fourth proportional to 288.48, 398.16 and 270.72 is: 373.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.48 : 398.16 = 270.72 : x
  2. Step 2: Convert to fraction form
    288.48/398.16 = 270.72/x
  3. Step 3: Cross multiply
    288.48x = 398.16 × 270.72
  4. Step 4: Simplify right side
    288.48x = 107,789.88
  5. Step 5: Solve for x
    x = 107,789.88/288.48
  6. Step 6: Final answer
    x = 373.65

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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.