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Finding the Fourth Proportional to 442.21, 610.76 and 294.59

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Solution

The fourth proportional to 442.21, 610.76 and 294.59 is: 406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.21 : 610.76 = 294.59 : x
  2. Step 2: Convert to fraction form
    442.21/610.76 = 294.59/x
  3. Step 3: Cross multiply
    442.21x = 610.76 × 294.59
  4. Step 4: Simplify right side
    442.21x = 179,923.79
  5. Step 5: Solve for x
    x = 179,923.79/442.21
  6. Step 6: Final answer
    x = 406.87

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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.