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Finding the Fourth Proportional to 524.23, 786.35 and 250.26

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Solution

The fourth proportional to 524.23, 786.35 and 250.26 is: 375.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.23 : 786.35 = 250.26 : x
  2. Step 2: Convert to fraction form
    524.23/786.35 = 250.26/x
  3. Step 3: Cross multiply
    524.23x = 786.35 × 250.26
  4. Step 4: Simplify right side
    524.23x = 196,791.95
  5. Step 5: Solve for x
    x = 196,791.95/524.23
  6. Step 6: Final answer
    x = 375.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.