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Finding the Fourth Proportional to 363.74, 502.23 and 260.06

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Solution

The fourth proportional to 363.74, 502.23 and 260.06 is: 359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.74 : 502.23 = 260.06 : x
  2. Step 2: Convert to fraction form
    363.74/502.23 = 260.06/x
  3. Step 3: Cross multiply
    363.74x = 502.23 × 260.06
  4. Step 4: Simplify right side
    363.74x = 130,609.93
  5. Step 5: Solve for x
    x = 130,609.93/363.74
  6. Step 6: Final answer
    x = 359.07

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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.