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Finding the Fourth Proportional to 273.90, 410.85 and 233.40

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Solution

The fourth proportional to 273.90, 410.85 and 233.40 is: 350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.90 : 410.85 = 233.40 : x
  2. Step 2: Convert to fraction form
    273.90/410.85 = 233.40/x
  3. Step 3: Cross multiply
    273.90x = 410.85 × 233.40
  4. Step 4: Simplify right side
    273.90x = 95,892.39
  5. Step 5: Solve for x
    x = 95,892.39/273.90
  6. Step 6: Final answer
    x = 350.10

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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.