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Finding the Fourth Proportional to 553.55, 829.83 and 293.73

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Solution

The fourth proportional to 553.55, 829.83 and 293.73 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.55 : 829.83 = 293.73 : x
  2. Step 2: Convert to fraction form
    553.55/829.83 = 293.73/x
  3. Step 3: Cross multiply
    553.55x = 829.83 × 293.73
  4. Step 4: Simplify right side
    553.55x = 243,743.89
  5. Step 5: Solve for x
    x = 243,743.89/553.55
  6. Step 6: Final answer
    x = 440.33

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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.