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Finding the Fourth Proportional to 445.76, 615.16 and 249.27

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Solution

The fourth proportional to 445.76, 615.16 and 249.27 is: 344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.76 : 615.16 = 249.27 : x
  2. Step 2: Convert to fraction form
    445.76/615.16 = 249.27/x
  3. Step 3: Cross multiply
    445.76x = 615.16 × 249.27
  4. Step 4: Simplify right side
    445.76x = 153,340.93
  5. Step 5: Solve for x
    x = 153,340.93/445.76
  6. Step 6: Final answer
    x = 344.00

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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.