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Finding the Fourth Proportional to 326.41, 450.53 and 202.00

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Solution

The fourth proportional to 326.41, 450.53 and 202.00 is: 278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.41 : 450.53 = 202.00 : x
  2. Step 2: Convert to fraction form
    326.41/450.53 = 202.00/x
  3. Step 3: Cross multiply
    326.41x = 450.53 × 202.00
  4. Step 4: Simplify right side
    326.41x = 91,005.26
  5. Step 5: Solve for x
    x = 91,005.26/326.41
  6. Step 6: Final answer
    x = 278.81

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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.