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Finding the Fourth Proportional to 868.32, 1,302.01 and 380.80

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Solution

The fourth proportional to 868.32, 1,302.01 and 380.80 is: 570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.32 : 1,302.01 = 380.80 : x
  2. Step 2: Convert to fraction form
    868.32/1,302.01 = 380.80/x
  3. Step 3: Cross multiply
    868.32x = 1,302.01 × 380.80
  4. Step 4: Simplify right side
    868.32x = 495,805.41
  5. Step 5: Solve for x
    x = 495,805.41/868.32
  6. Step 6: Final answer
    x = 570.99

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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.