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Finding the Fourth Proportional to 360.28, 497.24 and 235.92

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Solution

The fourth proportional to 360.28, 497.24 and 235.92 is: 325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.28 : 497.24 = 235.92 : x
  2. Step 2: Convert to fraction form
    360.28/497.24 = 235.92/x
  3. Step 3: Cross multiply
    360.28x = 497.24 × 235.92
  4. Step 4: Simplify right side
    360.28x = 117,308.86
  5. Step 5: Solve for x
    x = 117,308.86/360.28
  6. Step 6: Final answer
    x = 325.60

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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.