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Finding the Fourth Proportional to 578.40, 863.81 and 505.50

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Solution

The fourth proportional to 578.40, 863.81 and 505.50 is: 754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.40 : 863.81 = 505.50 : x
  2. Step 2: Convert to fraction form
    578.40/863.81 = 505.50/x
  3. Step 3: Cross multiply
    578.40x = 863.81 × 505.50
  4. Step 4: Simplify right side
    578.40x = 436,653.43
  5. Step 5: Solve for x
    x = 436,653.43/578.40
  6. Step 6: Final answer
    x = 754.93

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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.