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Finding the Fourth Proportional to 442.65, 610.83 and 246.15

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Solution

The fourth proportional to 442.65, 610.83 and 246.15 is: 339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.65 : 610.83 = 246.15 : x
  2. Step 2: Convert to fraction form
    442.65/610.83 = 246.15/x
  3. Step 3: Cross multiply
    442.65x = 610.83 × 246.15
  4. Step 4: Simplify right side
    442.65x = 150,355.80
  5. Step 5: Solve for x
    x = 150,355.80/442.65
  6. Step 6: Final answer
    x = 339.67

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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.