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Finding the Fourth Proportional to 577.41, 797.49 and 412.17

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Solution

The fourth proportional to 577.41, 797.49 and 412.17 is: 569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.41 : 797.49 = 412.17 : x
  2. Step 2: Convert to fraction form
    577.41/797.49 = 412.17/x
  3. Step 3: Cross multiply
    577.41x = 797.49 × 412.17
  4. Step 4: Simplify right side
    577.41x = 328,701.45
  5. Step 5: Solve for x
    x = 328,701.45/577.41
  6. Step 6: Final answer
    x = 569.27

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