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Finding the Fourth Proportional to 396.34, 596.74 and 288.88

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Solution

The fourth proportional to 396.34, 596.74 and 288.88 is: 434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.34 : 596.74 = 288.88 : x
  2. Step 2: Convert to fraction form
    396.34/596.74 = 288.88/x
  3. Step 3: Cross multiply
    396.34x = 596.74 × 288.88
  4. Step 4: Simplify right side
    396.34x = 172,386.25
  5. Step 5: Solve for x
    x = 172,386.25/396.34
  6. Step 6: Final answer
    x = 434.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.