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Finding the Fourth Proportional to 553.86, 764.19 and 357.48

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Solution

The fourth proportional to 553.86, 764.19 and 357.48 is: 493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.86 : 764.19 = 357.48 : x
  2. Step 2: Convert to fraction form
    553.86/764.19 = 357.48/x
  3. Step 3: Cross multiply
    553.86x = 764.19 × 357.48
  4. Step 4: Simplify right side
    553.86x = 273,182.64
  5. Step 5: Solve for x
    x = 273,182.64/553.86
  6. Step 6: Final answer
    x = 493.23

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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.