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Finding the Fourth Proportional to 445.25, 614.47 and 248.77

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Solution

The fourth proportional to 445.25, 614.47 and 248.77 is: 343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.25 : 614.47 = 248.77 : x
  2. Step 2: Convert to fraction form
    445.25/614.47 = 248.77/x
  3. Step 3: Cross multiply
    445.25x = 614.47 × 248.77
  4. Step 4: Simplify right side
    445.25x = 152,862.31
  5. Step 5: Solve for x
    x = 152,862.31/445.25
  6. Step 6: Final answer
    x = 343.32

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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.