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Finding the Fourth Proportional to 442.10, 610.14 and 255.66

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Solution

The fourth proportional to 442.10, 610.14 and 255.66 is: 352.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.10 : 610.14 = 255.66 : x
  2. Step 2: Convert to fraction form
    442.10/610.14 = 255.66/x
  3. Step 3: Cross multiply
    442.10x = 610.14 × 255.66
  4. Step 4: Simplify right side
    442.10x = 155,988.39
  5. Step 5: Solve for x
    x = 155,988.39/442.10
  6. Step 6: Final answer
    x = 352.84

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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.