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Finding the Fourth Proportional to 904.88, 1,357.52 and 327.80

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Solution

The fourth proportional to 904.88, 1,357.52 and 327.80 is: 491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.88 : 1,357.52 = 327.80 : x
  2. Step 2: Convert to fraction form
    904.88/1,357.52 = 327.80/x
  3. Step 3: Cross multiply
    904.88x = 1,357.52 × 327.80
  4. Step 4: Simplify right side
    904.88x = 444,995.06
  5. Step 5: Solve for x
    x = 444,995.06/904.88
  6. Step 6: Final answer
    x = 491.77

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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.