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Finding the Fourth Proportional to 553.68, 831.84 and 358.74

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Solution

The fourth proportional to 553.68, 831.84 and 358.74 is: 538.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.68 : 831.84 = 358.74 : x
  2. Step 2: Convert to fraction form
    553.68/831.84 = 358.74/x
  3. Step 3: Cross multiply
    553.68x = 831.84 × 358.74
  4. Step 4: Simplify right side
    553.68x = 298,414.28
  5. Step 5: Solve for x
    x = 298,414.28/553.68
  6. Step 6: Final answer
    x = 538.97

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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.