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Finding the Fourth Proportional to 444.96, 614.34 and 270.59

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Solution

The fourth proportional to 444.96, 614.34 and 270.59 is: 373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.96 : 614.34 = 270.59 : x
  2. Step 2: Convert to fraction form
    444.96/614.34 = 270.59/x
  3. Step 3: Cross multiply
    444.96x = 614.34 × 270.59
  4. Step 4: Simplify right side
    444.96x = 166,231.19
  5. Step 5: Solve for x
    x = 166,231.19/444.96
  6. Step 6: Final answer
    x = 373.59

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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.