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Finding the Fourth Proportional to 553.89, 830.03 and 493.14

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Solution

The fourth proportional to 553.89, 830.03 and 493.14 is: 738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.89 : 830.03 = 493.14 : x
  2. Step 2: Convert to fraction form
    553.89/830.03 = 493.14/x
  3. Step 3: Cross multiply
    553.89x = 830.03 × 493.14
  4. Step 4: Simplify right side
    553.89x = 409,318.53
  5. Step 5: Solve for x
    x = 409,318.53/553.89
  6. Step 6: Final answer
    x = 738.99

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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.