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Finding the Fourth Proportional to 577.62, 796.50 and 493.92

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Solution

The fourth proportional to 577.62, 796.50 and 493.92 is: 681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.62 : 796.50 = 493.92 : x
  2. Step 2: Convert to fraction form
    577.62/796.50 = 493.92/x
  3. Step 3: Cross multiply
    577.62x = 796.50 × 493.92
  4. Step 4: Simplify right side
    577.62x = 393,407.28
  5. Step 5: Solve for x
    x = 393,407.28/577.62
  6. Step 6: Final answer
    x = 681.08

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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.