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Finding the Fourth Proportional to 442.57, 610.86 and 293.12

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Solution

The fourth proportional to 442.57, 610.86 and 293.12 is: 404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.57 : 610.86 = 293.12 : x
  2. Step 2: Convert to fraction form
    442.57/610.86 = 293.12/x
  3. Step 3: Cross multiply
    442.57x = 610.86 × 293.12
  4. Step 4: Simplify right side
    442.57x = 179,055.71
  5. Step 5: Solve for x
    x = 179,055.71/442.57
  6. Step 6: Final answer
    x = 404.58

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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.