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Finding the Fourth Proportional to 502.33, 693.08 and 305.70

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Solution

The fourth proportional to 502.33, 693.08 and 305.70 is: 421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.33 : 693.08 = 305.70 : x
  2. Step 2: Convert to fraction form
    502.33/693.08 = 305.70/x
  3. Step 3: Cross multiply
    502.33x = 693.08 × 305.70
  4. Step 4: Simplify right side
    502.33x = 211,876.77
  5. Step 5: Solve for x
    x = 211,876.77/502.33
  6. Step 6: Final answer
    x = 421.79

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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.