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Finding the Fourth Proportional to 524.18, 786.52 and 267.86

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Solution

The fourth proportional to 524.18, 786.52 and 267.86 is: 401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.18 : 786.52 = 267.86 : x
  2. Step 2: Convert to fraction form
    524.18/786.52 = 267.86/x
  3. Step 3: Cross multiply
    524.18x = 786.52 × 267.86
  4. Step 4: Simplify right side
    524.18x = 210,677.25
  5. Step 5: Solve for x
    x = 210,677.25/524.18
  6. Step 6: Final answer
    x = 401.92

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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.