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Finding the Fourth Proportional to 396, 594.24 and 152.64

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Solution

The fourth proportional to 396, 594.24 and 152.64 is: 229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 594.24 = 152.64 : x
  2. Step 2: Convert to fraction form
    396/594.24 = 152.64/x
  3. Step 3: Cross multiply
    396x = 594.24 × 152.64
  4. Step 4: Simplify right side
    396x = 90,704.79
  5. Step 5: Solve for x
    x = 90,704.79/396
  6. Step 6: Final answer
    x = 229.05

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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.