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Finding the Fourth Proportional to 578.26, 864.95 and 461.82

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Solution

The fourth proportional to 578.26, 864.95 and 461.82 is: 690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.26 : 864.95 = 461.82 : x
  2. Step 2: Convert to fraction form
    578.26/864.95 = 461.82/x
  3. Step 3: Cross multiply
    578.26x = 864.95 × 461.82
  4. Step 4: Simplify right side
    578.26x = 399,448.90
  5. Step 5: Solve for x
    x = 399,448.90/578.26
  6. Step 6: Final answer
    x = 690.78

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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.