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Finding the Fourth Proportional to 904.93, 1,357.40 and 327.80

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Solution

The fourth proportional to 904.93, 1,357.40 and 327.80 is: 491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.93 : 1,357.40 = 327.80 : x
  2. Step 2: Convert to fraction form
    904.93/1,357.40 = 327.80/x
  3. Step 3: Cross multiply
    904.93x = 1,357.40 × 327.80
  4. Step 4: Simplify right side
    904.93x = 444,959.93
  5. Step 5: Solve for x
    x = 444,959.93/904.93
  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.