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Finding the Fourth Proportional to 503.30, 694.57 and 282.24

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Solution

The fourth proportional to 503.30, 694.57 and 282.24 is: 389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.30 : 694.57 = 282.24 : x
  2. Step 2: Convert to fraction form
    503.30/694.57 = 282.24/x
  3. Step 3: Cross multiply
    503.30x = 694.57 × 282.24
  4. Step 4: Simplify right side
    503.30x = 196,035.44
  5. Step 5: Solve for x
    x = 196,035.44/503.30
  6. Step 6: Final answer
    x = 389.50

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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.