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Finding the Fourth Proportional to 503.48, 694.85 and 282.42

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Solution

The fourth proportional to 503.48, 694.85 and 282.42 is: 389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.48 : 694.85 = 282.42 : x
  2. Step 2: Convert to fraction form
    503.48/694.85 = 282.42/x
  3. Step 3: Cross multiply
    503.48x = 694.85 × 282.42
  4. Step 4: Simplify right side
    503.48x = 196,238.12
  5. Step 5: Solve for x
    x = 196,238.12/503.48
  6. Step 6: Final answer
    x = 389.76

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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.