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Finding the Fourth Proportional to 553.84, 829.84 and 279.60

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Solution

The fourth proportional to 553.84, 829.84 and 279.60 is: 418.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.84 : 829.84 = 279.60 : x
  2. Step 2: Convert to fraction form
    553.84/829.84 = 279.60/x
  3. Step 3: Cross multiply
    553.84x = 829.84 × 279.60
  4. Step 4: Simplify right side
    553.84x = 232,023.26
  5. Step 5: Solve for x
    x = 232,023.26/553.84
  6. Step 6: Final answer
    x = 418.94

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Why These Related Problems?

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