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Finding the Fourth Proportional to 664.32, 991.68 and 573.60

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Solution

The fourth proportional to 664.32, 991.68 and 573.60 is: 856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.32 : 991.68 = 573.60 : x
  2. Step 2: Convert to fraction form
    664.32/991.68 = 573.60/x
  3. Step 3: Cross multiply
    664.32x = 991.68 × 573.60
  4. Step 4: Simplify right side
    664.32x = 568,827.65
  5. Step 5: Solve for x
    x = 568,827.65/664.32
  6. Step 6: Final answer
    x = 856.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.