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Finding the Fourth Proportional to 287.98, 430.97 and 206.98

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Solution

The fourth proportional to 287.98, 430.97 and 206.98 is: 309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.98 : 430.97 = 206.98 : x
  2. Step 2: Convert to fraction form
    287.98/430.97 = 206.98/x
  3. Step 3: Cross multiply
    287.98x = 430.97 × 206.98
  4. Step 4: Simplify right side
    287.98x = 89,201.14
  5. Step 5: Solve for x
    x = 89,201.14/287.98
  6. Step 6: Final answer
    x = 309.75

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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.