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Finding the Fourth Proportional to 578.78, 799.12 and 475.10

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Solution

The fourth proportional to 578.78, 799.12 and 475.10 is: 655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.78 : 799.12 = 475.10 : x
  2. Step 2: Convert to fraction form
    578.78/799.12 = 475.10/x
  3. Step 3: Cross multiply
    578.78x = 799.12 × 475.10
  4. Step 4: Simplify right side
    578.78x = 379,661.91
  5. Step 5: Solve for x
    x = 379,661.91/578.78
  6. Step 6: Final answer
    x = 655.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.