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Finding the Fourth Proportional to 389.88, 583.80 and 378.34

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Solution

The fourth proportional to 389.88, 583.80 and 378.34 is: 566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.88 : 583.80 = 378.34 : x
  2. Step 2: Convert to fraction form
    389.88/583.80 = 378.34/x
  3. Step 3: Cross multiply
    389.88x = 583.80 × 378.34
  4. Step 4: Simplify right side
    389.88x = 220,871.97
  5. Step 5: Solve for x
    x = 220,871.97/389.88
  6. Step 6: Final answer
    x = 566.51

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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.