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Finding the Fourth Proportional to 719.54, 992.00 and 470.43

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Solution

The fourth proportional to 719.54, 992.00 and 470.43 is: 648.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.54 : 992.00 = 470.43 : x
  2. Step 2: Convert to fraction form
    719.54/992.00 = 470.43/x
  3. Step 3: Cross multiply
    719.54x = 992.00 × 470.43
  4. Step 4: Simplify right side
    719.54x = 466,664.02
  5. Step 5: Solve for x
    x = 466,664.02/719.54
  6. Step 6: Final answer
    x = 648.56

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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.