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Finding the Fourth Proportional to 389.36, 583.04 and 377.82

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Solution

The fourth proportional to 389.36, 583.04 and 377.82 is: 565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.36 : 583.04 = 377.82 : x
  2. Step 2: Convert to fraction form
    389.36/583.04 = 377.82/x
  3. Step 3: Cross multiply
    389.36x = 583.04 × 377.82
  4. Step 4: Simplify right side
    389.36x = 220,282.28
  5. Step 5: Solve for x
    x = 220,282.28/389.36
  6. Step 6: Final answer
    x = 565.76

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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.