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Finding the Fourth Proportional to 352.96, 486.50 and 282.89

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Solution

The fourth proportional to 352.96, 486.50 and 282.89 is: 389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.96 : 486.50 = 282.89 : x
  2. Step 2: Convert to fraction form
    352.96/486.50 = 282.89/x
  3. Step 3: Cross multiply
    352.96x = 486.50 × 282.89
  4. Step 4: Simplify right side
    352.96x = 137,625.99
  5. Step 5: Solve for x
    x = 137,625.99/352.96
  6. Step 6: Final answer
    x = 389.93

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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.