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Finding the Fourth Proportional to 444.22, 613.02 and 313.46

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Solution

The fourth proportional to 444.22, 613.02 and 313.46 is: 432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.22 : 613.02 = 313.46 : x
  2. Step 2: Convert to fraction form
    444.22/613.02 = 313.46/x
  3. Step 3: Cross multiply
    444.22x = 613.02 × 313.46
  4. Step 4: Simplify right side
    444.22x = 192,157.25
  5. Step 5: Solve for x
    x = 192,157.25/444.22
  6. Step 6: Final answer
    x = 432.57

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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.