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Finding the Fourth Proportional to 577.92, 797.60 and 356.92

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Solution

The fourth proportional to 577.92, 797.60 and 356.92 is: 492.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.92 : 797.60 = 356.92 : x
  2. Step 2: Convert to fraction form
    577.92/797.60 = 356.92/x
  3. Step 3: Cross multiply
    577.92x = 797.60 × 356.92
  4. Step 4: Simplify right side
    577.92x = 284,679.39
  5. Step 5: Solve for x
    x = 284,679.39/577.92
  6. Step 6: Final answer
    x = 492.59

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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.