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Finding the Fourth Proportional to 401.50, 554.04 and 233.43

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Solution

The fourth proportional to 401.50, 554.04 and 233.43 is: 322.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.50 : 554.04 = 233.43 : x
  2. Step 2: Convert to fraction form
    401.50/554.04 = 233.43/x
  3. Step 3: Cross multiply
    401.50x = 554.04 × 233.43
  4. Step 4: Simplify right side
    401.50x = 129,327.48
  5. Step 5: Solve for x
    x = 129,327.48/401.50
  6. Step 6: Final answer
    x = 322.11

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