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Finding the Fourth Proportional to 553.84, 829.91 and 279.52

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Solution

The fourth proportional to 553.84, 829.91 and 279.52 is: 418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.84 : 829.91 = 279.52 : x
  2. Step 2: Convert to fraction form
    553.84/829.91 = 279.52/x
  3. Step 3: Cross multiply
    553.84x = 829.91 × 279.52
  4. Step 4: Simplify right side
    553.84x = 231,975.07
  5. Step 5: Solve for x
    x = 231,975.07/553.84
  6. Step 6: Final answer
    x = 418.85

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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.