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Finding the Fourth Proportional to 523.86, 785.86 and 215.88

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Solution

The fourth proportional to 523.86, 785.86 and 215.88 is: 323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.86 : 785.86 = 215.88 : x
  2. Step 2: Convert to fraction form
    523.86/785.86 = 215.88/x
  3. Step 3: Cross multiply
    523.86x = 785.86 × 215.88
  4. Step 4: Simplify right side
    523.86x = 169,651.46
  5. Step 5: Solve for x
    x = 169,651.46/523.86
  6. Step 6: Final answer
    x = 323.85

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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.