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Finding the Fourth Proportional to 502.79, 693.81 and 316.22

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Solution

The fourth proportional to 502.79, 693.81 and 316.22 is: 436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.79 : 693.81 = 316.22 : x
  2. Step 2: Convert to fraction form
    502.79/693.81 = 316.22/x
  3. Step 3: Cross multiply
    502.79x = 693.81 × 316.22
  4. Step 4: Simplify right side
    502.79x = 219,396.60
  5. Step 5: Solve for x
    x = 219,396.60/502.79
  6. Step 6: Final answer
    x = 436.36

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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.