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Finding the Fourth Proportional to 360.66, 497.76 and 236.42

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Solution

The fourth proportional to 360.66, 497.76 and 236.42 is: 326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.66 : 497.76 = 236.42 : x
  2. Step 2: Convert to fraction form
    360.66/497.76 = 236.42/x
  3. Step 3: Cross multiply
    360.66x = 497.76 × 236.42
  4. Step 4: Simplify right side
    360.66x = 117,679.24
  5. Step 5: Solve for x
    x = 117,679.24/360.66
  6. Step 6: Final answer
    x = 326.29

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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.