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Finding the Fourth Proportional to 552.11, 761.05 and 412.00

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Solution

The fourth proportional to 552.11, 761.05 and 412.00 is: 567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.11 : 761.05 = 412.00 : x
  2. Step 2: Convert to fraction form
    552.11/761.05 = 412.00/x
  3. Step 3: Cross multiply
    552.11x = 761.05 × 412.00
  4. Step 4: Simplify right side
    552.11x = 313,553.18
  5. Step 5: Solve for x
    x = 313,553.18/552.11
  6. Step 6: Final answer
    x = 567.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.