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Finding the Fourth Proportional to 574.30, 792.66 and 377.83

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Solution

The fourth proportional to 574.30, 792.66 and 377.83 is: 521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.30 : 792.66 = 377.83 : x
  2. Step 2: Convert to fraction form
    574.30/792.66 = 377.83/x
  3. Step 3: Cross multiply
    574.30x = 792.66 × 377.83
  4. Step 4: Simplify right side
    574.30x = 299,490.73
  5. Step 5: Solve for x
    x = 299,490.73/574.30
  6. Step 6: Final answer
    x = 521.49

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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.