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Finding the Fourth Proportional to 577.97, 797.13 and 500.21

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Solution

The fourth proportional to 577.97, 797.13 and 500.21 is: 689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.97 : 797.13 = 500.21 : x
  2. Step 2: Convert to fraction form
    577.97/797.13 = 500.21/x
  3. Step 3: Cross multiply
    577.97x = 797.13 × 500.21
  4. Step 4: Simplify right side
    577.97x = 398,728.41
  5. Step 5: Solve for x
    x = 398,728.41/577.97
  6. Step 6: Final answer
    x = 689.88

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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.