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Finding the Fourth Proportional to 578.67, 863.73 and 506.13

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Solution

The fourth proportional to 578.67, 863.73 and 506.13 is: 755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.67 : 863.73 = 506.13 : x
  2. Step 2: Convert to fraction form
    578.67/863.73 = 506.13/x
  3. Step 3: Cross multiply
    578.67x = 863.73 × 506.13
  4. Step 4: Simplify right side
    578.67x = 437,159.66
  5. Step 5: Solve for x
    x = 437,159.66/578.67
  6. Step 6: Final answer
    x = 755.46

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