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Finding the Fourth Proportional to 552.54, 829.13 and 223.63

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Solution

The fourth proportional to 552.54, 829.13 and 223.63 is: 335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.54 : 829.13 = 223.63 : x
  2. Step 2: Convert to fraction form
    552.54/829.13 = 223.63/x
  3. Step 3: Cross multiply
    552.54x = 829.13 × 223.63
  4. Step 4: Simplify right side
    552.54x = 185,421.07
  5. Step 5: Solve for x
    x = 185,421.07/552.54
  6. Step 6: Final answer
    x = 335.58

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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.