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Finding the Fourth Proportional to 389.99, 585.01 and 116.09

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Solution

The fourth proportional to 389.99, 585.01 and 116.09 is: 174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.99 : 585.01 = 116.09 : x
  2. Step 2: Convert to fraction form
    389.99/585.01 = 116.09/x
  3. Step 3: Cross multiply
    389.99x = 585.01 × 116.09
  4. Step 4: Simplify right side
    389.99x = 67,913.81
  5. Step 5: Solve for x
    x = 67,913.81/389.99
  6. Step 6: Final answer
    x = 174.14

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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.