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Finding the Fourth Proportional to 503.20, 694.16 and 296.16

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Solution

The fourth proportional to 503.20, 694.16 and 296.16 is: 408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.20 : 694.16 = 296.16 : x
  2. Step 2: Convert to fraction form
    503.20/694.16 = 296.16/x
  3. Step 3: Cross multiply
    503.20x = 694.16 × 296.16
  4. Step 4: Simplify right side
    503.20x = 205,582.43
  5. Step 5: Solve for x
    x = 205,582.43/503.20
  6. Step 6: Final answer
    x = 408.55

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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.