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Finding the Fourth Proportional to 553.81, 763.74 and 344.02

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Solution

The fourth proportional to 553.81, 763.74 and 344.02 is: 474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.81 : 763.74 = 344.02 : x
  2. Step 2: Convert to fraction form
    553.81/763.74 = 344.02/x
  3. Step 3: Cross multiply
    553.81x = 763.74 × 344.02
  4. Step 4: Simplify right side
    553.81x = 262,741.83
  5. Step 5: Solve for x
    x = 262,741.83/553.81
  6. Step 6: Final answer
    x = 474.43

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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.