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Finding the Fourth Proportional to 578.67, 799.38 and 461.40

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Solution

The fourth proportional to 578.67, 799.38 and 461.40 is: 637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 799.38 = 461.40 : x
  2. Step 2: Convert to fraction form
    578.67/799.38 = 461.40/x
  3. Step 3: Cross multiply
    578.67x = 799.38 × 461.40
  4. Step 4: Simplify right side
    578.67x = 368,833.93
  5. Step 5: Solve for x
    x = 368,833.93/578.67
  6. Step 6: Final answer
    x = 637.38

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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.