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Finding the Fourth Proportional to 352.42, 485.32 and 282.76

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Solution

The fourth proportional to 352.42, 485.32 and 282.76 is: 389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.42 : 485.32 = 282.76 : x
  2. Step 2: Convert to fraction form
    352.42/485.32 = 282.76/x
  3. Step 3: Cross multiply
    352.42x = 485.32 × 282.76
  4. Step 4: Simplify right side
    352.42x = 137,229.08
  5. Step 5: Solve for x
    x = 137,229.08/352.42
  6. Step 6: Final answer
    x = 389.39

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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.