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Finding the Fourth Proportional to 442.74, 610.71 and 293.36

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Solution

The fourth proportional to 442.74, 610.71 and 293.36 is: 404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.74 : 610.71 = 293.36 : x
  2. Step 2: Convert to fraction form
    442.74/610.71 = 293.36/x
  3. Step 3: Cross multiply
    442.74x = 610.71 × 293.36
  4. Step 4: Simplify right side
    442.74x = 179,154.83
  5. Step 5: Solve for x
    x = 179,154.83/442.74
  6. Step 6: Final answer
    x = 404.65

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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.