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Finding the Fourth Proportional to 523.94, 785.21 and 215.43

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Solution

The fourth proportional to 523.94, 785.21 and 215.43 is: 322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.94 : 785.21 = 215.43 : x
  2. Step 2: Convert to fraction form
    523.94/785.21 = 215.43/x
  3. Step 3: Cross multiply
    523.94x = 785.21 × 215.43
  4. Step 4: Simplify right side
    523.94x = 169,156.71
  5. Step 5: Solve for x
    x = 169,156.71/523.94
  6. Step 6: Final answer
    x = 322.86

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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.