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Finding the Fourth Proportional to 904.92, 1,357.92 and 327.78

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Solution

The fourth proportional to 904.92, 1,357.92 and 327.78 is: 491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.92 : 1,357.92 = 327.78 : x
  2. Step 2: Convert to fraction form
    904.92/1,357.92 = 327.78/x
  3. Step 3: Cross multiply
    904.92x = 1,357.92 × 327.78
  4. Step 4: Simplify right side
    904.92x = 445,099.02
  5. Step 5: Solve for x
    x = 445,099.02/904.92
  6. Step 6: Final answer
    x = 491.87

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Why These Related Problems?

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