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Finding the Fourth Proportional to 362.25, 496.85 and 318.51

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Solution

The fourth proportional to 362.25, 496.85 and 318.51 is: 436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.25 : 496.85 = 318.51 : x
  2. Step 2: Convert to fraction form
    362.25/496.85 = 318.51/x
  3. Step 3: Cross multiply
    362.25x = 496.85 × 318.51
  4. Step 4: Simplify right side
    362.25x = 158,250.10
  5. Step 5: Solve for x
    x = 158,250.10/362.25
  6. Step 6: Final answer
    x = 436.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.