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Finding the Fourth Proportional to 444.54, 613.78 and 320.24

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Solution

The fourth proportional to 444.54, 613.78 and 320.24 is: 442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.54 : 613.78 = 320.24 : x
  2. Step 2: Convert to fraction form
    444.54/613.78 = 320.24/x
  3. Step 3: Cross multiply
    444.54x = 613.78 × 320.24
  4. Step 4: Simplify right side
    444.54x = 196,558.84
  5. Step 5: Solve for x
    x = 196,558.84/444.54
  6. Step 6: Final answer
    x = 442.16

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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.