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Finding the Fourth Proportional to 363.23, 497.81 and 356.40

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Solution

The fourth proportional to 363.23, 497.81 and 356.40 is: 488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.23 : 497.81 = 356.40 : x
  2. Step 2: Convert to fraction form
    363.23/497.81 = 356.40/x
  3. Step 3: Cross multiply
    363.23x = 497.81 × 356.40
  4. Step 4: Simplify right side
    363.23x = 177,420.38
  5. Step 5: Solve for x
    x = 177,420.38/363.23
  6. Step 6: Final answer
    x = 488.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.