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Finding the Fourth Proportional to 660.20, 990.79 and 313.63

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Solution

The fourth proportional to 660.20, 990.79 and 313.63 is: 470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.20 : 990.79 = 313.63 : x
  2. Step 2: Convert to fraction form
    660.20/990.79 = 313.63/x
  3. Step 3: Cross multiply
    660.20x = 990.79 × 313.63
  4. Step 4: Simplify right side
    660.20x = 310,741.47
  5. Step 5: Solve for x
    x = 310,741.47/660.20
  6. Step 6: Final answer
    x = 470.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.