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Finding the Fourth Proportional to 577.96, 797.64 and 356.93

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Solution

The fourth proportional to 577.96, 797.64 and 356.93 is: 492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.96 : 797.64 = 356.93 : x
  2. Step 2: Convert to fraction form
    577.96/797.64 = 356.93/x
  3. Step 3: Cross multiply
    577.96x = 797.64 × 356.93
  4. Step 4: Simplify right side
    577.96x = 284,699.31
  5. Step 5: Solve for x
    x = 284,699.31/577.96
  6. Step 6: Final answer
    x = 492.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.