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Finding the Fourth Proportional to 363.72, 546.48 and 349.32

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Solution

The fourth proportional to 363.72, 546.48 and 349.32 is: 524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.72 : 546.48 = 349.32 : x
  2. Step 2: Convert to fraction form
    363.72/546.48 = 349.32/x
  3. Step 3: Cross multiply
    363.72x = 546.48 × 349.32
  4. Step 4: Simplify right side
    363.72x = 190,896.39
  5. Step 5: Solve for x
    x = 190,896.39/363.72
  6. Step 6: Final answer
    x = 524.84

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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.