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Finding the Fourth Proportional to 578.54, 867.11 and 304.46

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Solution

The fourth proportional to 578.54, 867.11 and 304.46 is: 456.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.54 : 867.11 = 304.46 : x
  2. Step 2: Convert to fraction form
    578.54/867.11 = 304.46/x
  3. Step 3: Cross multiply
    578.54x = 867.11 × 304.46
  4. Step 4: Simplify right side
    578.54x = 263,999.90
  5. Step 5: Solve for x
    x = 263,999.90/578.54
  6. Step 6: Final answer
    x = 456.32

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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.