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Finding the Fourth Proportional to 868.92, 1,303.40 and 219.70

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Solution

The fourth proportional to 868.92, 1,303.40 and 219.70 is: 329.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.92 : 1,303.40 = 219.70 : x
  2. Step 2: Convert to fraction form
    868.92/1,303.40 = 219.70/x
  3. Step 3: Cross multiply
    868.92x = 1,303.40 × 219.70
  4. Step 4: Simplify right side
    868.92x = 286,356.98
  5. Step 5: Solve for x
    x = 286,356.98/868.92
  6. Step 6: Final answer
    x = 329.56

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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.