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Finding the Fourth Proportional to 503.16, 694.38 and 296.28

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Solution

The fourth proportional to 503.16, 694.38 and 296.28 is: 408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 694.38 = 296.28 : x
  2. Step 2: Convert to fraction form
    503.16/694.38 = 296.28/x
  3. Step 3: Cross multiply
    503.16x = 694.38 × 296.28
  4. Step 4: Simplify right side
    503.16x = 205,730.91
  5. Step 5: Solve for x
    x = 205,730.91/503.16
  6. Step 6: Final answer
    x = 408.88

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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.