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Finding the Fourth Proportional to 363.57, 500.60 and 316.95

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Solution

The fourth proportional to 363.57, 500.60 and 316.95 is: 436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.57 : 500.60 = 316.95 : x
  2. Step 2: Convert to fraction form
    363.57/500.60 = 316.95/x
  3. Step 3: Cross multiply
    363.57x = 500.60 × 316.95
  4. Step 4: Simplify right side
    363.57x = 158,661.08
  5. Step 5: Solve for x
    x = 158,661.08/363.57
  6. Step 6: Final answer
    x = 436.40

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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.