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Finding the Fourth Proportional to 502.66, 693.70 and 306.04

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Solution

The fourth proportional to 502.66, 693.70 and 306.04 is: 422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.66 : 693.70 = 306.04 : x
  2. Step 2: Convert to fraction form
    502.66/693.70 = 306.04/x
  3. Step 3: Cross multiply
    502.66x = 693.70 × 306.04
  4. Step 4: Simplify right side
    502.66x = 212,294.95
  5. Step 5: Solve for x
    x = 212,294.95/502.66
  6. Step 6: Final answer
    x = 422.34

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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.