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Finding the Fourth Proportional to 401.73, 554.52 and 233.74

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Solution

The fourth proportional to 401.73, 554.52 and 233.74 is: 322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.73 : 554.52 = 233.74 : x
  2. Step 2: Convert to fraction form
    401.73/554.52 = 233.74/x
  3. Step 3: Cross multiply
    401.73x = 554.52 × 233.74
  4. Step 4: Simplify right side
    401.73x = 129,610.64
  5. Step 5: Solve for x
    x = 129,610.64/401.73
  6. Step 6: Final answer
    x = 322.63

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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.