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Finding the Fourth Proportional to 442.71, 663.46 and 404.24

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Solution

The fourth proportional to 442.71, 663.46 and 404.24 is: 605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.71 : 663.46 = 404.24 : x
  2. Step 2: Convert to fraction form
    442.71/663.46 = 404.24/x
  3. Step 3: Cross multiply
    442.71x = 663.46 × 404.24
  4. Step 4: Simplify right side
    442.71x = 268,192.74
  5. Step 5: Solve for x
    x = 268,192.74/442.71
  6. Step 6: Final answer
    x = 605.80

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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.