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Finding the Fourth Proportional to 502.96, 693.87 and 316.33

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Solution

The fourth proportional to 502.96, 693.87 and 316.33 is: 436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.96 : 693.87 = 316.33 : x
  2. Step 2: Convert to fraction form
    502.96/693.87 = 316.33/x
  3. Step 3: Cross multiply
    502.96x = 693.87 × 316.33
  4. Step 4: Simplify right side
    502.96x = 219,491.90
  5. Step 5: Solve for x
    x = 219,491.90/502.96
  6. Step 6: Final answer
    x = 436.40

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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.