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Finding the Fourth Proportional to 552.74, 829.08 and 228.02

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Solution

The fourth proportional to 552.74, 829.08 and 228.02 is: 342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.74 : 829.08 = 228.02 : x
  2. Step 2: Convert to fraction form
    552.74/829.08 = 228.02/x
  3. Step 3: Cross multiply
    552.74x = 829.08 × 228.02
  4. Step 4: Simplify right side
    552.74x = 189,042.68
  5. Step 5: Solve for x
    x = 189,042.68/552.74
  6. Step 6: Final answer
    x = 342.01

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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.