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Finding the Fourth Proportional to 286.73, 430.32 and 209.90

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Solution

The fourth proportional to 286.73, 430.32 and 209.90 is: 315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.73 : 430.32 = 209.90 : x
  2. Step 2: Convert to fraction form
    286.73/430.32 = 209.90/x
  3. Step 3: Cross multiply
    286.73x = 430.32 × 209.90
  4. Step 4: Simplify right side
    286.73x = 90,323.02
  5. Step 5: Solve for x
    x = 90,323.02/286.73
  6. Step 6: Final answer
    x = 315.01

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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.