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Finding the Fourth Proportional to 396.58, 595.68 and 294.52

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Solution

The fourth proportional to 396.58, 595.68 and 294.52 is: 442.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.58 : 595.68 = 294.52 : x
  2. Step 2: Convert to fraction form
    396.58/595.68 = 294.52/x
  3. Step 3: Cross multiply
    396.58x = 595.68 × 294.52
  4. Step 4: Simplify right side
    396.58x = 175,439.67
  5. Step 5: Solve for x
    x = 175,439.67/396.58
  6. Step 6: Final answer
    x = 442.38

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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.