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Finding the Fourth Proportional to 524.63, 786.83 and 231.98

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Solution

The fourth proportional to 524.63, 786.83 and 231.98 is: 347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.63 : 786.83 = 231.98 : x
  2. Step 2: Convert to fraction form
    524.63/786.83 = 231.98/x
  3. Step 3: Cross multiply
    524.63x = 786.83 × 231.98
  4. Step 4: Simplify right side
    524.63x = 182,524.38
  5. Step 5: Solve for x
    x = 182,524.38/524.63
  6. Step 6: Final answer
    x = 347.91

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Why These Related Problems?

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