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Finding the Fourth Proportional to 404.62, 559.14 and 389.50

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Solution

The fourth proportional to 404.62, 559.14 and 389.50 is: 538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.62 : 559.14 = 389.50 : x
  2. Step 2: Convert to fraction form
    404.62/559.14 = 389.50/x
  3. Step 3: Cross multiply
    404.62x = 559.14 × 389.50
  4. Step 4: Simplify right side
    404.62x = 217,785.03
  5. Step 5: Solve for x
    x = 217,785.03/404.62
  6. Step 6: Final answer
    x = 538.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.