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Finding the Fourth Proportional to 444.86, 614.20 and 313.90

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Solution

The fourth proportional to 444.86, 614.20 and 313.90 is: 433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.86 : 614.20 = 313.90 : x
  2. Step 2: Convert to fraction form
    444.86/614.20 = 313.90/x
  3. Step 3: Cross multiply
    444.86x = 614.20 × 313.90
  4. Step 4: Simplify right side
    444.86x = 192,797.38
  5. Step 5: Solve for x
    x = 192,797.38/444.86
  6. Step 6: Final answer
    x = 433.39

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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.