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Finding the Fourth Proportional to 396.04, 593.52 and 287.50

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Solution

The fourth proportional to 396.04, 593.52 and 287.50 is: 430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.04 : 593.52 = 287.50 : x
  2. Step 2: Convert to fraction form
    396.04/593.52 = 287.50/x
  3. Step 3: Cross multiply
    396.04x = 593.52 × 287.50
  4. Step 4: Simplify right side
    396.04x = 170,637
  5. Step 5: Solve for x
    x = 170,637/396.04
  6. Step 6: Final answer
    x = 430.86

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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.