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Finding the Fourth Proportional to 553.86, 829.71 and 279.12

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Solution

The fourth proportional to 553.86, 829.71 and 279.12 is: 418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.86 : 829.71 = 279.12 : x
  2. Step 2: Convert to fraction form
    553.86/829.71 = 279.12/x
  3. Step 3: Cross multiply
    553.86x = 829.71 × 279.12
  4. Step 4: Simplify right side
    553.86x = 231,588.66
  5. Step 5: Solve for x
    x = 231,588.66/553.86
  6. Step 6: Final answer
    x = 418.14

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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.