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Finding the Fourth Proportional to 442.16, 610.14 and 255.52

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Solution

The fourth proportional to 442.16, 610.14 and 255.52 is: 352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.16 : 610.14 = 255.52 : x
  2. Step 2: Convert to fraction form
    442.16/610.14 = 255.52/x
  3. Step 3: Cross multiply
    442.16x = 610.14 × 255.52
  4. Step 4: Simplify right side
    442.16x = 155,901.45
  5. Step 5: Solve for x
    x = 155,901.45/442.16
  6. Step 6: Final answer
    x = 352.59

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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.