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Finding the Fourth Proportional to 403.37, 556.67 and 285.56

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Solution

The fourth proportional to 403.37, 556.67 and 285.56 is: 394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.37 : 556.67 = 285.56 : x
  2. Step 2: Convert to fraction form
    403.37/556.67 = 285.56/x
  3. Step 3: Cross multiply
    403.37x = 556.67 × 285.56
  4. Step 4: Simplify right side
    403.37x = 158,958.47
  5. Step 5: Solve for x
    x = 158,958.47/403.37
  6. Step 6: Final answer
    x = 394.07

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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.