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Finding the Fourth Proportional to 442.55, 610.57 and 376.39

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Solution

The fourth proportional to 442.55, 610.57 and 376.39 is: 519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.55 : 610.57 = 376.39 : x
  2. Step 2: Convert to fraction form
    442.55/610.57 = 376.39/x
  3. Step 3: Cross multiply
    442.55x = 610.57 × 376.39
  4. Step 4: Simplify right side
    442.55x = 229,810.56
  5. Step 5: Solve for x
    x = 229,810.56/442.55
  6. Step 6: Final answer
    x = 519.29

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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.