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Finding the Fourth Proportional to 552.77, 829.15 and 264.14

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Solution

The fourth proportional to 552.77, 829.15 and 264.14 is: 396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.77 : 829.15 = 264.14 : x
  2. Step 2: Convert to fraction form
    552.77/829.15 = 264.14/x
  3. Step 3: Cross multiply
    552.77x = 829.15 × 264.14
  4. Step 4: Simplify right side
    552.77x = 219,006.87
  5. Step 5: Solve for x
    x = 219,006.87/552.77
  6. Step 6: Final answer
    x = 396.20

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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.