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Finding the Fourth Proportional to 719.26, 991.90 and 470.48

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Solution

The fourth proportional to 719.26, 991.90 and 470.48 is: 648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.26 : 991.90 = 470.48 : x
  2. Step 2: Convert to fraction form
    719.26/991.90 = 470.48/x
  3. Step 3: Cross multiply
    719.26x = 991.90 × 470.48
  4. Step 4: Simplify right side
    719.26x = 466,669.11
  5. Step 5: Solve for x
    x = 466,669.11/719.26
  6. Step 6: Final answer
    x = 648.82

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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.