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Finding the Fourth Proportional to 502.93, 694.37 and 409.90

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Solution

The fourth proportional to 502.93, 694.37 and 409.90 is: 565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.93 : 694.37 = 409.90 : x
  2. Step 2: Convert to fraction form
    502.93/694.37 = 409.90/x
  3. Step 3: Cross multiply
    502.93x = 694.37 × 409.90
  4. Step 4: Simplify right side
    502.93x = 284,623.29
  5. Step 5: Solve for x
    x = 284,623.29/502.93
  6. Step 6: Final answer
    x = 565.93

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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.