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Finding the Fourth Proportional to 553.79, 831.29 and 322.94

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Solution

The fourth proportional to 553.79, 831.29 and 322.94 is: 484.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.79 : 831.29 = 322.94 : x
  2. Step 2: Convert to fraction form
    553.79/831.29 = 322.94/x
  3. Step 3: Cross multiply
    553.79x = 831.29 × 322.94
  4. Step 4: Simplify right side
    553.79x = 268,451.02
  5. Step 5: Solve for x
    x = 268,451.02/553.79
  6. Step 6: Final answer
    x = 484.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.