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Finding the Fourth Proportional to 363.45, 502.02 and 342.93

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Solution

The fourth proportional to 363.45, 502.02 and 342.93 is: 473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.45 : 502.02 = 342.93 : x
  2. Step 2: Convert to fraction form
    363.45/502.02 = 342.93/x
  3. Step 3: Cross multiply
    363.45x = 502.02 × 342.93
  4. Step 4: Simplify right side
    363.45x = 172,157.72
  5. Step 5: Solve for x
    x = 172,157.72/363.45
  6. Step 6: Final answer
    x = 473.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.