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Finding the Fourth Proportional to 366.24, 505.32 and 360.78

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Solution

The fourth proportional to 366.24, 505.32 and 360.78 is: 497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.24 : 505.32 = 360.78 : x
  2. Step 2: Convert to fraction form
    366.24/505.32 = 360.78/x
  3. Step 3: Cross multiply
    366.24x = 505.32 × 360.78
  4. Step 4: Simplify right side
    366.24x = 182,309.35
  5. Step 5: Solve for x
    x = 182,309.35/366.24
  6. Step 6: Final answer
    x = 497.79

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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.