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Finding the Fourth Proportional to 444.96, 613.98 and 314.15

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Solution

The fourth proportional to 444.96, 613.98 and 314.15 is: 433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.96 : 613.98 = 314.15 : x
  2. Step 2: Convert to fraction form
    444.96/613.98 = 314.15/x
  3. Step 3: Cross multiply
    444.96x = 613.98 × 314.15
  4. Step 4: Simplify right side
    444.96x = 192,878.75
  5. Step 5: Solve for x
    x = 192,878.75/444.96
  6. Step 6: Final answer
    x = 433.47

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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.