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Finding the Fourth Proportional to 553.97, 764.47 and 332.92

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Solution

The fourth proportional to 553.97, 764.47 and 332.92 is: 459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.97 : 764.47 = 332.92 : x
  2. Step 2: Convert to fraction form
    553.97/764.47 = 332.92/x
  3. Step 3: Cross multiply
    553.97x = 764.47 × 332.92
  4. Step 4: Simplify right side
    553.97x = 254,507.35
  5. Step 5: Solve for x
    x = 254,507.35/553.97
  6. Step 6: Final answer
    x = 459.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.