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Finding the Fourth Proportional to 401.65, 553.90 and 254.13

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Solution

The fourth proportional to 401.65, 553.90 and 254.13 is: 350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.65 : 553.90 = 254.13 : x
  2. Step 2: Convert to fraction form
    401.65/553.90 = 254.13/x
  3. Step 3: Cross multiply
    401.65x = 553.90 × 254.13
  4. Step 4: Simplify right side
    401.65x = 140,762.61
  5. Step 5: Solve for x
    x = 140,762.61/401.65
  6. Step 6: Final answer
    x = 350.46

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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.