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Finding the Fourth Proportional to 442.48, 664 and 211.63

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Solution

The fourth proportional to 442.48, 664 and 211.63 is: 317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.48 : 664 = 211.63 : x
  2. Step 2: Convert to fraction form
    442.48/664 = 211.63/x
  3. Step 3: Cross multiply
    442.48x = 664 × 211.63
  4. Step 4: Simplify right side
    442.48x = 140,522.32
  5. Step 5: Solve for x
    x = 140,522.32/442.48
  6. Step 6: Final answer
    x = 317.58

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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.