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Finding the Fourth Proportional to 442.52, 611.12 and 364.61

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Solution

The fourth proportional to 442.52, 611.12 and 364.61 is: 503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.52 : 611.12 = 364.61 : x
  2. Step 2: Convert to fraction form
    442.52/611.12 = 364.61/x
  3. Step 3: Cross multiply
    442.52x = 611.12 × 364.61
  4. Step 4: Simplify right side
    442.52x = 222,815.58
  5. Step 5: Solve for x
    x = 222,815.58/442.52
  6. Step 6: Final answer
    x = 503.52

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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.