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Finding the Fourth Proportional to 273.52, 410.04 and 235.04

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Solution

The fourth proportional to 273.52, 410.04 and 235.04 is: 352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.52 : 410.04 = 235.04 : x
  2. Step 2: Convert to fraction form
    273.52/410.04 = 235.04/x
  3. Step 3: Cross multiply
    273.52x = 410.04 × 235.04
  4. Step 4: Simplify right side
    273.52x = 96,375.80
  5. Step 5: Solve for x
    x = 96,375.80/273.52
  6. Step 6: Final answer
    x = 352.35

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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.