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Finding the Fourth Proportional to 634.95, 951.62 and 288.27

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Solution

The fourth proportional to 634.95, 951.62 and 288.27 is: 432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.95 : 951.62 = 288.27 : x
  2. Step 2: Convert to fraction form
    634.95/951.62 = 288.27/x
  3. Step 3: Cross multiply
    634.95x = 951.62 × 288.27
  4. Step 4: Simplify right side
    634.95x = 274,322.06
  5. Step 5: Solve for x
    x = 274,322.06/634.95
  6. Step 6: Final answer
    x = 432.04

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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.