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Finding the Fourth Proportional to 578.01, 865.78 and 467.85

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Solution

The fourth proportional to 578.01, 865.78 and 467.85 is: 700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.01 : 865.78 = 467.85 : x
  2. Step 2: Convert to fraction form
    578.01/865.78 = 467.85/x
  3. Step 3: Cross multiply
    578.01x = 865.78 × 467.85
  4. Step 4: Simplify right side
    578.01x = 405,055.17
  5. Step 5: Solve for x
    x = 405,055.17/578.01
  6. Step 6: Final answer
    x = 700.78

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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.