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Finding the Fourth Proportional to 352.50, 486.56 and 282.79

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Solution

The fourth proportional to 352.50, 486.56 and 282.79 is: 390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.50 : 486.56 = 282.79 : x
  2. Step 2: Convert to fraction form
    352.50/486.56 = 282.79/x
  3. Step 3: Cross multiply
    352.50x = 486.56 × 282.79
  4. Step 4: Simplify right side
    352.50x = 137,594.03
  5. Step 5: Solve for x
    x = 137,594.03/352.50
  6. Step 6: Final answer
    x = 390.34

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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.