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Finding the Fourth Proportional to 718.22, 991.31 and 456.19

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Solution

The fourth proportional to 718.22, 991.31 and 456.19 is: 629.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.22 : 991.31 = 456.19 : x
  2. Step 2: Convert to fraction form
    718.22/991.31 = 456.19/x
  3. Step 3: Cross multiply
    718.22x = 991.31 × 456.19
  4. Step 4: Simplify right side
    718.22x = 452,220.95
  5. Step 5: Solve for x
    x = 452,220.95/718.22
  6. Step 6: Final answer
    x = 629.64

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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.