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Finding the Fourth Proportional to 578.12, 867.84 and 304.14

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Solution

The fourth proportional to 578.12, 867.84 and 304.14 is: 456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.12 : 867.84 = 304.14 : x
  2. Step 2: Convert to fraction form
    578.12/867.84 = 304.14/x
  3. Step 3: Cross multiply
    578.12x = 867.84 × 304.14
  4. Step 4: Simplify right side
    578.12x = 263,944.86
  5. Step 5: Solve for x
    x = 263,944.86/578.12
  6. Step 6: Final answer
    x = 456.56

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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.