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Finding the Fourth Proportional to 363.10, 543.96 and 305.68

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Solution

The fourth proportional to 363.10, 543.96 and 305.68 is: 457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.10 : 543.96 = 305.68 : x
  2. Step 2: Convert to fraction form
    363.10/543.96 = 305.68/x
  3. Step 3: Cross multiply
    363.10x = 543.96 × 305.68
  4. Step 4: Simplify right side
    363.10x = 166,277.69
  5. Step 5: Solve for x
    x = 166,277.69/363.10
  6. Step 6: Final answer
    x = 457.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.