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Finding the Fourth Proportional to 401.62, 554.09 and 235.78

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Solution

The fourth proportional to 401.62, 554.09 and 235.78 is: 325.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.62 : 554.09 = 235.78 : x
  2. Step 2: Convert to fraction form
    401.62/554.09 = 235.78/x
  3. Step 3: Cross multiply
    401.62x = 554.09 × 235.78
  4. Step 4: Simplify right side
    401.62x = 130,643.34
  5. Step 5: Solve for x
    x = 130,643.34/401.62
  6. Step 6: Final answer
    x = 325.29

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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.