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Finding the Fourth Proportional to 442.14, 610.42 and 317.70

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Solution

The fourth proportional to 442.14, 610.42 and 317.70 is: 438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.14 : 610.42 = 317.70 : x
  2. Step 2: Convert to fraction form
    442.14/610.42 = 317.70/x
  3. Step 3: Cross multiply
    442.14x = 610.42 × 317.70
  4. Step 4: Simplify right side
    442.14x = 193,930.43
  5. Step 5: Solve for x
    x = 193,930.43/442.14
  6. Step 6: Final answer
    x = 438.62

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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.