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Finding the Fourth Proportional to 904.92, 1,357.44 and 327.84

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Solution

The fourth proportional to 904.92, 1,357.44 and 327.84 is: 491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.92 : 1,357.44 = 327.84 : x
  2. Step 2: Convert to fraction form
    904.92/1,357.44 = 327.84/x
  3. Step 3: Cross multiply
    904.92x = 1,357.44 × 327.84
  4. Step 4: Simplify right side
    904.92x = 445,023.13
  5. Step 5: Solve for x
    x = 445,023.13/904.92
  6. Step 6: Final answer
    x = 491.78

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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.