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Finding the Fourth Proportional to 360.30, 496.62 and 235.86

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Solution

The fourth proportional to 360.30, 496.62 and 235.86 is: 325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.30 : 496.62 = 235.86 : x
  2. Step 2: Convert to fraction form
    360.30/496.62 = 235.86/x
  3. Step 3: Cross multiply
    360.30x = 496.62 × 235.86
  4. Step 4: Simplify right side
    360.30x = 117,132.79
  5. Step 5: Solve for x
    x = 117,132.79/360.30
  6. Step 6: Final answer
    x = 325.10

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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.