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Finding the Fourth Proportional to 389.14, 584.09 and 286.13

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Solution

The fourth proportional to 389.14, 584.09 and 286.13 is: 429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.14 : 584.09 = 286.13 : x
  2. Step 2: Convert to fraction form
    389.14/584.09 = 286.13/x
  3. Step 3: Cross multiply
    389.14x = 584.09 × 286.13
  4. Step 4: Simplify right side
    389.14x = 167,125.67
  5. Step 5: Solve for x
    x = 167,125.67/389.14
  6. Step 6: Final answer
    x = 429.47

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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.