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Finding the Fourth Proportional to 503.54, 694.80 and 282.48

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Solution

The fourth proportional to 503.54, 694.80 and 282.48 is: 389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.54 : 694.80 = 282.48 : x
  2. Step 2: Convert to fraction form
    503.54/694.80 = 282.48/x
  3. Step 3: Cross multiply
    503.54x = 694.80 × 282.48
  4. Step 4: Simplify right side
    503.54x = 196,267.10
  5. Step 5: Solve for x
    x = 196,267.10/503.54
  6. Step 6: Final answer
    x = 389.78

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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.