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Finding the Fourth Proportional to 577.71, 796.88 and 504.21

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Solution

The fourth proportional to 577.71, 796.88 and 504.21 is: 695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.71 : 796.88 = 504.21 : x
  2. Step 2: Convert to fraction form
    577.71/796.88 = 504.21/x
  3. Step 3: Cross multiply
    577.71x = 796.88 × 504.21
  4. Step 4: Simplify right side
    577.71x = 401,792.34
  5. Step 5: Solve for x
    x = 401,792.34/577.71
  6. Step 6: Final answer
    x = 695.49

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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.