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Finding the Fourth Proportional to 440.28, 607.91 and 293.22

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Solution

The fourth proportional to 440.28, 607.91 and 293.22 is: 404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.28 : 607.91 = 293.22 : x
  2. Step 2: Convert to fraction form
    440.28/607.91 = 293.22/x
  3. Step 3: Cross multiply
    440.28x = 607.91 × 293.22
  4. Step 4: Simplify right side
    440.28x = 178,249.90
  5. Step 5: Solve for x
    x = 178,249.90/440.28
  6. Step 6: Final answer
    x = 404.86

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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.