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Finding the Fourth Proportional to 578.25, 863.16 and 505.35

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Solution

The fourth proportional to 578.25, 863.16 and 505.35 is: 754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.25 : 863.16 = 505.35 : x
  2. Step 2: Convert to fraction form
    578.25/863.16 = 505.35/x
  3. Step 3: Cross multiply
    578.25x = 863.16 × 505.35
  4. Step 4: Simplify right side
    578.25x = 436,197.91
  5. Step 5: Solve for x
    x = 436,197.91/578.25
  6. Step 6: Final answer
    x = 754.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.