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Finding the Fourth Proportional to 352.08, 527.04 and 298.80

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Solution

The fourth proportional to 352.08, 527.04 and 298.80 is: 447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.08 : 527.04 = 298.80 : x
  2. Step 2: Convert to fraction form
    352.08/527.04 = 298.80/x
  3. Step 3: Cross multiply
    352.08x = 527.04 × 298.80
  4. Step 4: Simplify right side
    352.08x = 157,479.55
  5. Step 5: Solve for x
    x = 157,479.55/352.08
  6. Step 6: Final answer
    x = 447.28

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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.