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Finding the Fourth Proportional to 577.76, 797.43 and 356.94

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Solution

The fourth proportional to 577.76, 797.43 and 356.94 is: 492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.76 : 797.43 = 356.94 : x
  2. Step 2: Convert to fraction form
    577.76/797.43 = 356.94/x
  3. Step 3: Cross multiply
    577.76x = 797.43 × 356.94
  4. Step 4: Simplify right side
    577.76x = 284,634.66
  5. Step 5: Solve for x
    x = 284,634.66/577.76
  6. Step 6: Final answer
    x = 492.66

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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.