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Finding the Fourth Proportional to 484.56, 727.83 and 465.48

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Solution

The fourth proportional to 484.56, 727.83 and 465.48 is: 699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.56 : 727.83 = 465.48 : x
  2. Step 2: Convert to fraction form
    484.56/727.83 = 465.48/x
  3. Step 3: Cross multiply
    484.56x = 727.83 × 465.48
  4. Step 4: Simplify right side
    484.56x = 338,790.31
  5. Step 5: Solve for x
    x = 338,790.31/484.56
  6. Step 6: Final answer
    x = 699.17

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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.