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Finding the Fourth Proportional to 523.49, 785.00 and 171.99

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Solution

The fourth proportional to 523.49, 785.00 and 171.99 is: 257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.49 : 785.00 = 171.99 : x
  2. Step 2: Convert to fraction form
    523.49/785.00 = 171.99/x
  3. Step 3: Cross multiply
    523.49x = 785.00 × 171.99
  4. Step 4: Simplify right side
    523.49x = 135,012.58
  5. Step 5: Solve for x
    x = 135,012.58/523.49
  6. Step 6: Final answer
    x = 257.91

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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.