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Finding the Fourth Proportional to 442.75, 610.95 and 243.58

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Solution

The fourth proportional to 442.75, 610.95 and 243.58 is: 336.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.75 : 610.95 = 243.58 : x
  2. Step 2: Convert to fraction form
    442.75/610.95 = 243.58/x
  3. Step 3: Cross multiply
    442.75x = 610.95 × 243.58
  4. Step 4: Simplify right side
    442.75x = 148,814.28
  5. Step 5: Solve for x
    x = 148,814.28/442.75
  6. Step 6: Final answer
    x = 336.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.