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Finding the Fourth Proportional to 574.53, 792.21 and 543.75

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Solution

The fourth proportional to 574.53, 792.21 and 543.75 is: 749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.53 : 792.21 = 543.75 : x
  2. Step 2: Convert to fraction form
    574.53/792.21 = 543.75/x
  3. Step 3: Cross multiply
    574.53x = 792.21 × 543.75
  4. Step 4: Simplify right side
    574.53x = 430,764.19
  5. Step 5: Solve for x
    x = 430,764.19/574.53
  6. Step 6: Final answer
    x = 749.77

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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.