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Finding the Fourth Proportional to 445.42, 614.67 and 246.25

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Solution

The fourth proportional to 445.42, 614.67 and 246.25 is: 339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.42 : 614.67 = 246.25 : x
  2. Step 2: Convert to fraction form
    445.42/614.67 = 246.25/x
  3. Step 3: Cross multiply
    445.42x = 614.67 × 246.25
  4. Step 4: Simplify right side
    445.42x = 151,362.49
  5. Step 5: Solve for x
    x = 151,362.49/445.42
  6. Step 6: Final answer
    x = 339.82

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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.