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Finding the Fourth Proportional to 905.54, 1,357.85 and 442.63

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Solution

The fourth proportional to 905.54, 1,357.85 and 442.63 is: 663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.54 : 1,357.85 = 442.63 : x
  2. Step 2: Convert to fraction form
    905.54/1,357.85 = 442.63/x
  3. Step 3: Cross multiply
    905.54x = 1,357.85 × 442.63
  4. Step 4: Simplify right side
    905.54x = 601,016.14
  5. Step 5: Solve for x
    x = 601,016.14/905.54
  6. Step 6: Final answer
    x = 663.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.