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Finding the Fourth Proportional to 286.35, 429.62 and 232.71

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Solution

The fourth proportional to 286.35, 429.62 and 232.71 is: 349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.35 : 429.62 = 232.71 : x
  2. Step 2: Convert to fraction form
    286.35/429.62 = 232.71/x
  3. Step 3: Cross multiply
    286.35x = 429.62 × 232.71
  4. Step 4: Simplify right side
    286.35x = 99,975.71
  5. Step 5: Solve for x
    x = 99,975.71/286.35
  6. Step 6: Final answer
    x = 349.14

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