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Finding the Fourth Proportional to 502.81, 693.84 and 306.30

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Solution

The fourth proportional to 502.81, 693.84 and 306.30 is: 422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.81 : 693.84 = 306.30 : x
  2. Step 2: Convert to fraction form
    502.81/693.84 = 306.30/x
  3. Step 3: Cross multiply
    502.81x = 693.84 × 306.30
  4. Step 4: Simplify right side
    502.81x = 212,523.19
  5. Step 5: Solve for x
    x = 212,523.19/502.81
  6. Step 6: Final answer
    x = 422.67

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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.