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Finding the Fourth Proportional to 552.66, 829.29 and 264.09

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Solution

The fourth proportional to 552.66, 829.29 and 264.09 is: 396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.66 : 829.29 = 264.09 : x
  2. Step 2: Convert to fraction form
    552.66/829.29 = 264.09/x
  3. Step 3: Cross multiply
    552.66x = 829.29 × 264.09
  4. Step 4: Simplify right side
    552.66x = 219,009.81
  5. Step 5: Solve for x
    x = 219,009.81/552.66
  6. Step 6: Final answer
    x = 396.29

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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.