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Finding the Fourth Proportional to 286.97, 430.46 and 94.59

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Solution

The fourth proportional to 286.97, 430.46 and 94.59 is: 141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.97 : 430.46 = 94.59 : x
  2. Step 2: Convert to fraction form
    286.97/430.46 = 94.59/x
  3. Step 3: Cross multiply
    286.97x = 430.46 × 94.59
  4. Step 4: Simplify right side
    286.97x = 40,716.74
  5. Step 5: Solve for x
    x = 40,716.74/286.97
  6. Step 6: Final answer
    x = 141.89

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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.