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Finding the Fourth Proportional to 578.19, 867.31 and 304.36

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Solution

The fourth proportional to 578.19, 867.31 and 304.36 is: 456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.19 : 867.31 = 304.36 : x
  2. Step 2: Convert to fraction form
    578.19/867.31 = 304.36/x
  3. Step 3: Cross multiply
    578.19x = 867.31 × 304.36
  4. Step 4: Simplify right side
    578.19x = 263,971.54
  5. Step 5: Solve for x
    x = 263,971.54/578.19
  6. Step 6: Final answer
    x = 456.55

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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.