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Finding the Fourth Proportional to 396.51, 594.75 and 259.47

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Solution

The fourth proportional to 396.51, 594.75 and 259.47 is: 389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.51 : 594.75 = 259.47 : x
  2. Step 2: Convert to fraction form
    396.51/594.75 = 259.47/x
  3. Step 3: Cross multiply
    396.51x = 594.75 × 259.47
  4. Step 4: Simplify right side
    396.51x = 154,319.78
  5. Step 5: Solve for x
    x = 154,319.78/396.51
  6. Step 6: Final answer
    x = 389.20

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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.