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Finding the Fourth Proportional to 440.26, 607.57 and 243.78

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Solution

The fourth proportional to 440.26, 607.57 and 243.78 is: 336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.26 : 607.57 = 243.78 : x
  2. Step 2: Convert to fraction form
    440.26/607.57 = 243.78/x
  3. Step 3: Cross multiply
    440.26x = 607.57 × 243.78
  4. Step 4: Simplify right side
    440.26x = 148,110.53
  5. Step 5: Solve for x
    x = 148,110.53/440.26
  6. Step 6: Final answer
    x = 336.42

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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.