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Finding the Fourth Proportional to 524.38, 786.27 and 177.54

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Solution

The fourth proportional to 524.38, 786.27 and 177.54 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.38 : 786.27 = 177.54 : x
  2. Step 2: Convert to fraction form
    524.38/786.27 = 177.54/x
  3. Step 3: Cross multiply
    524.38x = 786.27 × 177.54
  4. Step 4: Simplify right side
    524.38x = 139,594.38
  5. Step 5: Solve for x
    x = 139,594.38/524.38
  6. Step 6: Final answer
    x = 266.21

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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.