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Finding the Fourth Proportional to 444.92, 613.37 and 383.40

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Solution

The fourth proportional to 444.92, 613.37 and 383.40 is: 528.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.92 : 613.37 = 383.40 : x
  2. Step 2: Convert to fraction form
    444.92/613.37 = 383.40/x
  3. Step 3: Cross multiply
    444.92x = 613.37 × 383.40
  4. Step 4: Simplify right side
    444.92x = 235,164.14
  5. Step 5: Solve for x
    x = 235,164.14/444.92
  6. Step 6: Final answer
    x = 528.56

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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.