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Finding the Fourth Proportional to 502.96, 694.06 and 281.93

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Solution

The fourth proportional to 502.96, 694.06 and 281.93 is: 389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.96 : 694.06 = 281.93 : x
  2. Step 2: Convert to fraction form
    502.96/694.06 = 281.93/x
  3. Step 3: Cross multiply
    502.96x = 694.06 × 281.93
  4. Step 4: Simplify right side
    502.96x = 195,676.34
  5. Step 5: Solve for x
    x = 195,676.34/502.96
  6. Step 6: Final answer
    x = 389.05

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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.