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Finding the Fourth Proportional to 401.81, 553.92 and 313.14

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Solution

The fourth proportional to 401.81, 553.92 and 313.14 is: 431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.81 : 553.92 = 313.14 : x
  2. Step 2: Convert to fraction form
    401.81/553.92 = 313.14/x
  3. Step 3: Cross multiply
    401.81x = 553.92 × 313.14
  4. Step 4: Simplify right side
    401.81x = 173,454.51
  5. Step 5: Solve for x
    x = 173,454.51/401.81
  6. Step 6: Final answer
    x = 431.69

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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.