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Finding the Fourth Proportional to 503.12, 694.23 and 282.03

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Solution

The fourth proportional to 503.12, 694.23 and 282.03 is: 389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.12 : 694.23 = 282.03 : x
  2. Step 2: Convert to fraction form
    503.12/694.23 = 282.03/x
  3. Step 3: Cross multiply
    503.12x = 694.23 × 282.03
  4. Step 4: Simplify right side
    503.12x = 195,793.69
  5. Step 5: Solve for x
    x = 195,793.69/503.12
  6. Step 6: Final answer
    x = 389.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.