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Finding the Fourth Proportional to 396.45, 591.21 and 355.50

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Solution

The fourth proportional to 396.45, 591.21 and 355.50 is: 530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.45 : 591.21 = 355.50 : x
  2. Step 2: Convert to fraction form
    396.45/591.21 = 355.50/x
  3. Step 3: Cross multiply
    396.45x = 591.21 × 355.50
  4. Step 4: Simplify right side
    396.45x = 210,175.16
  5. Step 5: Solve for x
    x = 210,175.16/396.45
  6. Step 6: Final answer
    x = 530.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.