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Finding the Fourth Proportional to 578.09, 865.59 and 395.84

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Solution

The fourth proportional to 578.09, 865.59 and 395.84 is: 592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.09 : 865.59 = 395.84 : x
  2. Step 2: Convert to fraction form
    578.09/865.59 = 395.84/x
  3. Step 3: Cross multiply
    578.09x = 865.59 × 395.84
  4. Step 4: Simplify right side
    578.09x = 342,630.82
  5. Step 5: Solve for x
    x = 342,630.82/578.09
  6. Step 6: Final answer
    x = 592.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.