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Finding the Fourth Proportional to 868.06, 1,301.07 and 380.57

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Solution

The fourth proportional to 868.06, 1,301.07 and 380.57 is: 570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.06 : 1,301.07 = 380.57 : x
  2. Step 2: Convert to fraction form
    868.06/1,301.07 = 380.57/x
  3. Step 3: Cross multiply
    868.06x = 1,301.07 × 380.57
  4. Step 4: Simplify right side
    868.06x = 495,148.21
  5. Step 5: Solve for x
    x = 495,148.21/868.06
  6. Step 6: Final answer
    x = 570.41

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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.