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Finding the Fourth Proportional to 553.36, 829.96 and 279.40

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Solution

The fourth proportional to 553.36, 829.96 and 279.40 is: 419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.36 : 829.96 = 279.40 : x
  2. Step 2: Convert to fraction form
    553.36/829.96 = 279.40/x
  3. Step 3: Cross multiply
    553.36x = 829.96 × 279.40
  4. Step 4: Simplify right side
    553.36x = 231,890.82
  5. Step 5: Solve for x
    x = 231,890.82/553.36
  6. Step 6: Final answer
    x = 419.06

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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.