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Finding the Fourth Proportional to 363.04, 543.85 and 301.52

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Solution

The fourth proportional to 363.04, 543.85 and 301.52 is: 451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.04 : 543.85 = 301.52 : x
  2. Step 2: Convert to fraction form
    363.04/543.85 = 301.52/x
  3. Step 3: Cross multiply
    363.04x = 543.85 × 301.52
  4. Step 4: Simplify right side
    363.04x = 163,982.26
  5. Step 5: Solve for x
    x = 163,982.26/363.04
  6. Step 6: Final answer
    x = 451.70

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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.