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Finding the Fourth Proportional to 574.36, 792.64 and 341.52

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Solution

The fourth proportional to 574.36, 792.64 and 341.52 is: 471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.36 : 792.64 = 341.52 : x
  2. Step 2: Convert to fraction form
    574.36/792.64 = 341.52/x
  3. Step 3: Cross multiply
    574.36x = 792.64 × 341.52
  4. Step 4: Simplify right side
    574.36x = 270,702.41
  5. Step 5: Solve for x
    x = 270,702.41/574.36
  6. Step 6: Final answer
    x = 471.31

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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.