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Finding the Fourth Proportional to 288.90, 398.52 and 205.74

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Solution

The fourth proportional to 288.90, 398.52 and 205.74 is: 283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 398.52 = 205.74 : x
  2. Step 2: Convert to fraction form
    288.90/398.52 = 205.74/x
  3. Step 3: Cross multiply
    288.90x = 398.52 × 205.74
  4. Step 4: Simplify right side
    288.90x = 81,991.50
  5. Step 5: Solve for x
    x = 81,991.50/288.90
  6. Step 6: Final answer
    x = 283.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.