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Finding the Fourth Proportional to 363.48, 546.24 and 338.88

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Solution

The fourth proportional to 363.48, 546.24 and 338.88 is: 509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.48 : 546.24 = 338.88 : x
  2. Step 2: Convert to fraction form
    363.48/546.24 = 338.88/x
  3. Step 3: Cross multiply
    363.48x = 546.24 × 338.88
  4. Step 4: Simplify right side
    363.48x = 185,109.81
  5. Step 5: Solve for x
    x = 185,109.81/363.48
  6. Step 6: Final answer
    x = 509.27

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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.