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Finding the Fourth Proportional to 396.04, 546 and 322.24

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Solution

The fourth proportional to 396.04, 546 and 322.24 is: 444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.04 : 546 = 322.24 : x
  2. Step 2: Convert to fraction form
    396.04/546 = 322.24/x
  3. Step 3: Cross multiply
    396.04x = 546 × 322.24
  4. Step 4: Simplify right side
    396.04x = 175,943.04
  5. Step 5: Solve for x
    x = 175,943.04/396.04
  6. Step 6: Final answer
    x = 444.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.