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Finding the Fourth Proportional to 382.60, 527.99 and 207.95

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Solution

The fourth proportional to 382.60, 527.99 and 207.95 is: 286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.60 : 527.99 = 207.95 : x
  2. Step 2: Convert to fraction form
    382.60/527.99 = 207.95/x
  3. Step 3: Cross multiply
    382.60x = 527.99 × 207.95
  4. Step 4: Simplify right side
    382.60x = 109,792.36
  5. Step 5: Solve for x
    x = 109,792.36/382.60
  6. Step 6: Final answer
    x = 286.96

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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.