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Finding the Fourth Proportional to 578.10, 865.47 and 361.02

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Solution

The fourth proportional to 578.10, 865.47 and 361.02 is: 540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.10 : 865.47 = 361.02 : x
  2. Step 2: Convert to fraction form
    578.10/865.47 = 361.02/x
  3. Step 3: Cross multiply
    578.10x = 865.47 × 361.02
  4. Step 4: Simplify right side
    578.10x = 312,451.98
  5. Step 5: Solve for x
    x = 312,451.98/578.10
  6. Step 6: Final answer
    x = 540.48

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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.