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Finding the Fourth Proportional to 524.42, 786.87 and 231.89

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Solution

The fourth proportional to 524.42, 786.87 and 231.89 is: 347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.42 : 786.87 = 231.89 : x
  2. Step 2: Convert to fraction form
    524.42/786.87 = 231.89/x
  3. Step 3: Cross multiply
    524.42x = 786.87 × 231.89
  4. Step 4: Simplify right side
    524.42x = 182,463.35
  5. Step 5: Solve for x
    x = 182,463.35/524.42
  6. Step 6: Final answer
    x = 347.94

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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.