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Finding the Fourth Proportional to 442.29, 610.37 and 255.77

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Solution

The fourth proportional to 442.29, 610.37 and 255.77 is: 352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.29 : 610.37 = 255.77 : x
  2. Step 2: Convert to fraction form
    442.29/610.37 = 255.77/x
  3. Step 3: Cross multiply
    442.29x = 610.37 × 255.77
  4. Step 4: Simplify right side
    442.29x = 156,118.12
  5. Step 5: Solve for x
    x = 156,118.12/442.29
  6. Step 6: Final answer
    x = 352.98

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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.