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Finding the Fourth Proportional to 444.71, 613.74 and 248.27

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Solution

The fourth proportional to 444.71, 613.74 and 248.27 is: 342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.71 : 613.74 = 248.27 : x
  2. Step 2: Convert to fraction form
    444.71/613.74 = 248.27/x
  3. Step 3: Cross multiply
    444.71x = 613.74 × 248.27
  4. Step 4: Simplify right side
    444.71x = 152,373.23
  5. Step 5: Solve for x
    x = 152,373.23/444.71
  6. Step 6: Final answer
    x = 342.64

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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.