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Finding the Fourth Proportional to 401.90, 554.69 and 291.34

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Solution

The fourth proportional to 401.90, 554.69 and 291.34 is: 402.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.90 : 554.69 = 291.34 : x
  2. Step 2: Convert to fraction form
    401.90/554.69 = 291.34/x
  3. Step 3: Cross multiply
    401.90x = 554.69 × 291.34
  4. Step 4: Simplify right side
    401.90x = 161,599.15
  5. Step 5: Solve for x
    x = 161,599.15/401.90
  6. Step 6: Final answer
    x = 402.09

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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.