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Finding the Fourth Proportional to 503.42, 693.97 and 306.79

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Solution

The fourth proportional to 503.42, 693.97 and 306.79 is: 422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.42 : 693.97 = 306.79 : x
  2. Step 2: Convert to fraction form
    503.42/693.97 = 306.79/x
  3. Step 3: Cross multiply
    503.42x = 693.97 × 306.79
  4. Step 4: Simplify right side
    503.42x = 212,900.55
  5. Step 5: Solve for x
    x = 212,900.55/503.42
  6. Step 6: Final answer
    x = 422.91

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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.