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Finding the Fourth Proportional to 360.02, 497.24 and 241.80

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Solution

The fourth proportional to 360.02, 497.24 and 241.80 is: 333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.02 : 497.24 = 241.80 : x
  2. Step 2: Convert to fraction form
    360.02/497.24 = 241.80/x
  3. Step 3: Cross multiply
    360.02x = 497.24 × 241.80
  4. Step 4: Simplify right side
    360.02x = 120,231.42
  5. Step 5: Solve for x
    x = 120,231.42/360.02
  6. Step 6: Final answer
    x = 333.96

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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.