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Finding the Fourth Proportional to 396.52, 592.09 and 355.12

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Solution

The fourth proportional to 396.52, 592.09 and 355.12 is: 530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.52 : 592.09 = 355.12 : x
  2. Step 2: Convert to fraction form
    396.52/592.09 = 355.12/x
  3. Step 3: Cross multiply
    396.52x = 592.09 × 355.12
  4. Step 4: Simplify right side
    396.52x = 210,263.00
  5. Step 5: Solve for x
    x = 210,263.00/396.52
  6. Step 6: Final answer
    x = 530.27

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