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Finding the Fourth Proportional to 364.54, 502.86 and 240.16

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Solution

The fourth proportional to 364.54, 502.86 and 240.16 is: 331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.54 : 502.86 = 240.16 : x
  2. Step 2: Convert to fraction form
    364.54/502.86 = 240.16/x
  3. Step 3: Cross multiply
    364.54x = 502.86 × 240.16
  4. Step 4: Simplify right side
    364.54x = 120,766.86
  5. Step 5: Solve for x
    x = 120,766.86/364.54
  6. Step 6: Final answer
    x = 331.29

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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.