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Finding the Fourth Proportional to 524.12, 786.09 and 177.44

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Solution

The fourth proportional to 524.12, 786.09 and 177.44 is: 266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.12 : 786.09 = 177.44 : x
  2. Step 2: Convert to fraction form
    524.12/786.09 = 177.44/x
  3. Step 3: Cross multiply
    524.12x = 786.09 × 177.44
  4. Step 4: Simplify right side
    524.12x = 139,479.88
  5. Step 5: Solve for x
    x = 139,479.88/524.12
  6. Step 6: Final answer
    x = 266.12

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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.