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Finding the Fourth Proportional to 440.42, 607.74 and 243.92

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Solution

The fourth proportional to 440.42, 607.74 and 243.92 is: 336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.42 : 607.74 = 243.92 : x
  2. Step 2: Convert to fraction form
    440.42/607.74 = 243.92/x
  3. Step 3: Cross multiply
    440.42x = 607.74 × 243.92
  4. Step 4: Simplify right side
    440.42x = 148,239.94
  5. Step 5: Solve for x
    x = 148,239.94/440.42
  6. Step 6: Final answer
    x = 336.59

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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.