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Finding the Fourth Proportional to 401.53, 554.18 and 233.46

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Solution

The fourth proportional to 401.53, 554.18 and 233.46 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.53 : 554.18 = 233.46 : x
  2. Step 2: Convert to fraction form
    401.53/554.18 = 233.46/x
  3. Step 3: Cross multiply
    401.53x = 554.18 × 233.46
  4. Step 4: Simplify right side
    401.53x = 129,376.09
  5. Step 5: Solve for x
    x = 129,376.09/401.53
  6. Step 6: Final answer
    x = 322.21

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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.