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Finding the Fourth Proportional to 329.99, 494.97 and 86.51

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Solution

The fourth proportional to 329.99, 494.97 and 86.51 is: 129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.99 : 494.97 = 86.51 : x
  2. Step 2: Convert to fraction form
    329.99/494.97 = 86.51/x
  3. Step 3: Cross multiply
    329.99x = 494.97 × 86.51
  4. Step 4: Simplify right side
    329.99x = 42,816.95
  5. Step 5: Solve for x
    x = 42,816.95/329.99
  6. Step 6: Final answer
    x = 129.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.