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Finding the Fourth Proportional to 502.24, 693.07 and 292.42

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Solution

The fourth proportional to 502.24, 693.07 and 292.42 is: 403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.24 : 693.07 = 292.42 : x
  2. Step 2: Convert to fraction form
    502.24/693.07 = 292.42/x
  3. Step 3: Cross multiply
    502.24x = 693.07 × 292.42
  4. Step 4: Simplify right side
    502.24x = 202,666.37
  5. Step 5: Solve for x
    x = 202,666.37/502.24
  6. Step 6: Final answer
    x = 403.53

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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.