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Finding the Fourth Proportional to 574.76, 793.64 and 365.31

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Solution

The fourth proportional to 574.76, 793.64 and 365.31 is: 504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.76 : 793.64 = 365.31 : x
  2. Step 2: Convert to fraction form
    574.76/793.64 = 365.31/x
  3. Step 3: Cross multiply
    574.76x = 793.64 × 365.31
  4. Step 4: Simplify right side
    574.76x = 289,925.54
  5. Step 5: Solve for x
    x = 289,925.54/574.76
  6. Step 6: Final answer
    x = 504.43

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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.