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Finding the Fourth Proportional to 574.65, 792.81 and 456.62

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Solution

The fourth proportional to 574.65, 792.81 and 456.62 is: 629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.65 : 792.81 = 456.62 : x
  2. Step 2: Convert to fraction form
    574.65/792.81 = 456.62/x
  3. Step 3: Cross multiply
    574.65x = 792.81 × 456.62
  4. Step 4: Simplify right side
    574.65x = 362,008.94
  5. Step 5: Solve for x
    x = 362,008.94/574.65
  6. Step 6: Final answer
    x = 629.96

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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.