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Finding the Fourth Proportional to 389.93, 584.73 and 116.01

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Solution

The fourth proportional to 389.93, 584.73 and 116.01 is: 173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.93 : 584.73 = 116.01 : x
  2. Step 2: Convert to fraction form
    389.93/584.73 = 116.01/x
  3. Step 3: Cross multiply
    389.93x = 584.73 × 116.01
  4. Step 4: Simplify right side
    389.93x = 67,834.53
  5. Step 5: Solve for x
    x = 67,834.53/389.93
  6. Step 6: Final answer
    x = 173.97

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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.