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Finding the Fourth Proportional to 578.66, 865.86 and 363.98

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Solution

The fourth proportional to 578.66, 865.86 and 363.98 is: 544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.66 : 865.86 = 363.98 : x
  2. Step 2: Convert to fraction form
    578.66/865.86 = 363.98/x
  3. Step 3: Cross multiply
    578.66x = 865.86 × 363.98
  4. Step 4: Simplify right side
    578.66x = 315,155.72
  5. Step 5: Solve for x
    x = 315,155.72/578.66
  6. Step 6: Final answer
    x = 544.63

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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.