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Finding the Fourth Proportional to 524.38, 786.83 and 371.29

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Solution

The fourth proportional to 524.38, 786.83 and 371.29 is: 557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.38 : 786.83 = 371.29 : x
  2. Step 2: Convert to fraction form
    524.38/786.83 = 371.29/x
  3. Step 3: Cross multiply
    524.38x = 786.83 × 371.29
  4. Step 4: Simplify right side
    524.38x = 292,142.11
  5. Step 5: Solve for x
    x = 292,142.11/524.38
  6. Step 6: Final answer
    x = 557.12

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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.