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Finding the Fourth Proportional to 389.81, 583.96 and 259.43

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Solution

The fourth proportional to 389.81, 583.96 and 259.43 is: 388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.81 : 583.96 = 259.43 : x
  2. Step 2: Convert to fraction form
    389.81/583.96 = 259.43/x
  3. Step 3: Cross multiply
    389.81x = 583.96 × 259.43
  4. Step 4: Simplify right side
    389.81x = 151,497.55
  5. Step 5: Solve for x
    x = 151,497.55/389.81
  6. Step 6: Final answer
    x = 388.64

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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.