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Finding the Fourth Proportional to 502.37, 693.34 and 305.84

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Solution

The fourth proportional to 502.37, 693.34 and 305.84 is: 422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.37 : 693.34 = 305.84 : x
  2. Step 2: Convert to fraction form
    502.37/693.34 = 305.84/x
  3. Step 3: Cross multiply
    502.37x = 693.34 × 305.84
  4. Step 4: Simplify right side
    502.37x = 212,052.07
  5. Step 5: Solve for x
    x = 212,052.07/502.37
  6. Step 6: Final answer
    x = 422.11

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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.