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Finding the Fourth Proportional to 577.29, 797.22 and 493.91

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Solution

The fourth proportional to 577.29, 797.22 and 493.91 is: 682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.29 : 797.22 = 493.91 : x
  2. Step 2: Convert to fraction form
    577.29/797.22 = 493.91/x
  3. Step 3: Cross multiply
    577.29x = 797.22 × 493.91
  4. Step 4: Simplify right side
    577.29x = 393,750.94
  5. Step 5: Solve for x
    x = 393,750.94/577.29
  6. Step 6: Final answer
    x = 682.07

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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.