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Finding the Fourth Proportional to 524.38, 786.61 and 426.91

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Solution

The fourth proportional to 524.38, 786.61 and 426.91 is: 640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.38 : 786.61 = 426.91 : x
  2. Step 2: Convert to fraction form
    524.38/786.61 = 426.91/x
  3. Step 3: Cross multiply
    524.38x = 786.61 × 426.91
  4. Step 4: Simplify right side
    524.38x = 335,811.68
  5. Step 5: Solve for x
    x = 335,811.68/524.38
  6. Step 6: Final answer
    x = 640.40

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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.