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Finding the Fourth Proportional to 577.54, 796.53 and 356.55

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Solution

The fourth proportional to 577.54, 796.53 and 356.55 is: 491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.54 : 796.53 = 356.55 : x
  2. Step 2: Convert to fraction form
    577.54/796.53 = 356.55/x
  3. Step 3: Cross multiply
    577.54x = 796.53 × 356.55
  4. Step 4: Simplify right side
    577.54x = 284,002.77
  5. Step 5: Solve for x
    x = 284,002.77/577.54
  6. Step 6: Final answer
    x = 491.75

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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.