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Finding the Fourth Proportional to 468.03, 701.48 and 273.12

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Solution

The fourth proportional to 468.03, 701.48 and 273.12 is: 409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.03 : 701.48 = 273.12 : x
  2. Step 2: Convert to fraction form
    468.03/701.48 = 273.12/x
  3. Step 3: Cross multiply
    468.03x = 701.48 × 273.12
  4. Step 4: Simplify right side
    468.03x = 191,586.85
  5. Step 5: Solve for x
    x = 191,586.85/468.03
  6. Step 6: Final answer
    x = 409.35

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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.