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Finding the Fourth Proportional to 503.64, 694.96 and 282.59

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Solution

The fourth proportional to 503.64, 694.96 and 282.59 is: 389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.64 : 694.96 = 282.59 : x
  2. Step 2: Convert to fraction form
    503.64/694.96 = 282.59/x
  3. Step 3: Cross multiply
    503.64x = 694.96 × 282.59
  4. Step 4: Simplify right side
    503.64x = 196,388.75
  5. Step 5: Solve for x
    x = 196,388.75/503.64
  6. Step 6: Final answer
    x = 389.94

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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.