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Finding the Fourth Proportional to 402.93, 600.39 and 383.34

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Solution

The fourth proportional to 402.93, 600.39 and 383.34 is: 571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.93 : 600.39 = 383.34 : x
  2. Step 2: Convert to fraction form
    402.93/600.39 = 383.34/x
  3. Step 3: Cross multiply
    402.93x = 600.39 × 383.34
  4. Step 4: Simplify right side
    402.93x = 230,149.54
  5. Step 5: Solve for x
    x = 230,149.54/402.93
  6. Step 6: Final answer
    x = 571.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.