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Finding the Fourth Proportional to 468.00, 701.77 and 273.05

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Solution

The fourth proportional to 468.00, 701.77 and 273.05 is: 409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.00 : 701.77 = 273.05 : x
  2. Step 2: Convert to fraction form
    468.00/701.77 = 273.05/x
  3. Step 3: Cross multiply
    468.00x = 701.77 × 273.05
  4. Step 4: Simplify right side
    468.00x = 191,621.39
  5. Step 5: Solve for x
    x = 191,621.39/468.00
  6. Step 6: Final answer
    x = 409.45

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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.