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Finding the Fourth Proportional to 467.38, 700.46 and 293.79

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Solution

The fourth proportional to 467.38, 700.46 and 293.79 is: 440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.38 : 700.46 = 293.79 : x
  2. Step 2: Convert to fraction form
    467.38/700.46 = 293.79/x
  3. Step 3: Cross multiply
    467.38x = 700.46 × 293.79
  4. Step 4: Simplify right side
    467.38x = 205,788.14
  5. Step 5: Solve for x
    x = 205,788.14/467.38
  6. Step 6: Final answer
    x = 440.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.