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Finding the Fourth Proportional to 442.87, 610.74 and 303.14

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Solution

The fourth proportional to 442.87, 610.74 and 303.14 is: 418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.87 : 610.74 = 303.14 : x
  2. Step 2: Convert to fraction form
    442.87/610.74 = 303.14/x
  3. Step 3: Cross multiply
    442.87x = 610.74 × 303.14
  4. Step 4: Simplify right side
    442.87x = 185,141.25
  5. Step 5: Solve for x
    x = 185,141.25/442.87
  6. Step 6: Final answer
    x = 418.05

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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.