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Finding the Fourth Proportional to 503.36, 694.67 and 282.32

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Solution

The fourth proportional to 503.36, 694.67 and 282.32 is: 389.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.36 : 694.67 = 282.32 : x
  2. Step 2: Convert to fraction form
    503.36/694.67 = 282.32/x
  3. Step 3: Cross multiply
    503.36x = 694.67 × 282.32
  4. Step 4: Simplify right side
    503.36x = 196,116.95
  5. Step 5: Solve for x
    x = 196,116.95/503.36
  6. Step 6: Final answer
    x = 389.61

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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.