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Finding the Fourth Proportional to 444.66, 614.25 and 334.98

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Solution

The fourth proportional to 444.66, 614.25 and 334.98 is: 462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.66 : 614.25 = 334.98 : x
  2. Step 2: Convert to fraction form
    444.66/614.25 = 334.98/x
  3. Step 3: Cross multiply
    444.66x = 614.25 × 334.98
  4. Step 4: Simplify right side
    444.66x = 205,761.47
  5. Step 5: Solve for x
    x = 205,761.47/444.66
  6. Step 6: Final answer
    x = 462.74

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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.