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Finding the Fourth Proportional to 552.10, 828.13 and 205.29

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Solution

The fourth proportional to 552.10, 828.13 and 205.29 is: 307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.10 : 828.13 = 205.29 : x
  2. Step 2: Convert to fraction form
    552.10/828.13 = 205.29/x
  3. Step 3: Cross multiply
    552.10x = 828.13 × 205.29
  4. Step 4: Simplify right side
    552.10x = 170,009.59
  5. Step 5: Solve for x
    x = 170,009.59/552.10
  6. Step 6: Final answer
    x = 307.93

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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.