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Finding the Fourth Proportional to 442.48, 610.51 and 255.98

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Solution

The fourth proportional to 442.48, 610.51 and 255.98 is: 353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.48 : 610.51 = 255.98 : x
  2. Step 2: Convert to fraction form
    442.48/610.51 = 255.98/x
  3. Step 3: Cross multiply
    442.48x = 610.51 × 255.98
  4. Step 4: Simplify right side
    442.48x = 156,278.35
  5. Step 5: Solve for x
    x = 156,278.35/442.48
  6. Step 6: Final answer
    x = 353.19

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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.