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Finding the Fourth Proportional to 444.17, 611.78 and 325.84

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Solution

The fourth proportional to 444.17, 611.78 and 325.84 is: 448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.17 : 611.78 = 325.84 : x
  2. Step 2: Convert to fraction form
    444.17/611.78 = 325.84/x
  3. Step 3: Cross multiply
    444.17x = 611.78 × 325.84
  4. Step 4: Simplify right side
    444.17x = 199,342.40
  5. Step 5: Solve for x
    x = 199,342.40/444.17
  6. Step 6: Final answer
    x = 448.80

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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.