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Finding the Fourth Proportional to 503.16, 694.34 and 306.74

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Solution

The fourth proportional to 503.16, 694.34 and 306.74 is: 423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 694.34 = 306.74 : x
  2. Step 2: Convert to fraction form
    503.16/694.34 = 306.74/x
  3. Step 3: Cross multiply
    503.16x = 694.34 × 306.74
  4. Step 4: Simplify right side
    503.16x = 212,981.85
  5. Step 5: Solve for x
    x = 212,981.85/503.16
  6. Step 6: Final answer
    x = 423.29

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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.