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Finding the Fourth Proportional to 577.73, 797.65 and 412.49

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Solution

The fourth proportional to 577.73, 797.65 and 412.49 is: 569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.73 : 797.65 = 412.49 : x
  2. Step 2: Convert to fraction form
    577.73/797.65 = 412.49/x
  3. Step 3: Cross multiply
    577.73x = 797.65 × 412.49
  4. Step 4: Simplify right side
    577.73x = 329,023.61
  5. Step 5: Solve for x
    x = 329,023.61/577.73
  6. Step 6: Final answer
    x = 569.51

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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.