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Finding the Fourth Proportional to 552.22, 761.87 and 412.45

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Solution

The fourth proportional to 552.22, 761.87 and 412.45 is: 569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.22 : 761.87 = 412.45 : x
  2. Step 2: Convert to fraction form
    552.22/761.87 = 412.45/x
  3. Step 3: Cross multiply
    552.22x = 761.87 × 412.45
  4. Step 4: Simplify right side
    552.22x = 314,233.28
  5. Step 5: Solve for x
    x = 314,233.28/552.22
  6. Step 6: Final answer
    x = 569.04

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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.