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Finding the Fourth Proportional to 444.40, 613.32 and 320.46

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Solution

The fourth proportional to 444.40, 613.32 and 320.46 is: 442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.40 : 613.32 = 320.46 : x
  2. Step 2: Convert to fraction form
    444.40/613.32 = 320.46/x
  3. Step 3: Cross multiply
    444.40x = 613.32 × 320.46
  4. Step 4: Simplify right side
    444.40x = 196,544.53
  5. Step 5: Solve for x
    x = 196,544.53/444.40
  6. Step 6: Final answer
    x = 442.27

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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.