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Finding the Fourth Proportional to 396.46, 594.65 and 177.07

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Solution

The fourth proportional to 396.46, 594.65 and 177.07 is: 265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.46 : 594.65 = 177.07 : x
  2. Step 2: Convert to fraction form
    396.46/594.65 = 177.07/x
  3. Step 3: Cross multiply
    396.46x = 594.65 × 177.07
  4. Step 4: Simplify right side
    396.46x = 105,298.11
  5. Step 5: Solve for x
    x = 105,298.11/396.46
  6. Step 6: Final answer
    x = 265.60

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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.