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Finding the Fourth Proportional to 502.40, 693.36 and 305.96

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Solution

The fourth proportional to 502.40, 693.36 and 305.96 is: 422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.40 : 693.36 = 305.96 : x
  2. Step 2: Convert to fraction form
    502.40/693.36 = 305.96/x
  3. Step 3: Cross multiply
    502.40x = 693.36 × 305.96
  4. Step 4: Simplify right side
    502.40x = 212,140.43
  5. Step 5: Solve for x
    x = 212,140.43/502.40
  6. Step 6: Final answer
    x = 422.25

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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.