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Finding the Fourth Proportional to 577.55, 796.95 and 356.27

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Solution

The fourth proportional to 577.55, 796.95 and 356.27 is: 491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.55 : 796.95 = 356.27 : x
  2. Step 2: Convert to fraction form
    577.55/796.95 = 356.27/x
  3. Step 3: Cross multiply
    577.55x = 796.95 × 356.27
  4. Step 4: Simplify right side
    577.55x = 283,925.39
  5. Step 5: Solve for x
    x = 283,925.39/577.55
  6. Step 6: Final answer
    x = 491.60

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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.