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Finding the Fourth Proportional to 868.70, 1,303.10 and 219.48

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Solution

The fourth proportional to 868.70, 1,303.10 and 219.48 is: 329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.70 : 1,303.10 = 219.48 : x
  2. Step 2: Convert to fraction form
    868.70/1,303.10 = 219.48/x
  3. Step 3: Cross multiply
    868.70x = 1,303.10 × 219.48
  4. Step 4: Simplify right side
    868.70x = 286,004.39
  5. Step 5: Solve for x
    x = 286,004.39/868.70
  6. Step 6: Final answer
    x = 329.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.