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Finding the Fourth Proportional to 523.15, 786.41 and 421.57

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Solution

The fourth proportional to 523.15, 786.41 and 421.57 is: 633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.15 : 786.41 = 421.57 : x
  2. Step 2: Convert to fraction form
    523.15/786.41 = 421.57/x
  3. Step 3: Cross multiply
    523.15x = 786.41 × 421.57
  4. Step 4: Simplify right side
    523.15x = 331,526.86
  5. Step 5: Solve for x
    x = 331,526.86/523.15
  6. Step 6: Final answer
    x = 633.71

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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.