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Finding the Fourth Proportional to 904.78, 1,357.79 and 327.66

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Solution

The fourth proportional to 904.78, 1,357.79 and 327.66 is: 491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.78 : 1,357.79 = 327.66 : x
  2. Step 2: Convert to fraction form
    904.78/1,357.79 = 327.66/x
  3. Step 3: Cross multiply
    904.78x = 1,357.79 × 327.66
  4. Step 4: Simplify right side
    904.78x = 444,886.74
  5. Step 5: Solve for x
    x = 444,886.74/904.78
  6. Step 6: Final answer
    x = 491.71

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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.