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Finding the Fourth Proportional to 807.28, 1,210.76 and 313.68

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Solution

The fourth proportional to 807.28, 1,210.76 and 313.68 is: 470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.28 : 1,210.76 = 313.68 : x
  2. Step 2: Convert to fraction form
    807.28/1,210.76 = 313.68/x
  3. Step 3: Cross multiply
    807.28x = 1,210.76 × 313.68
  4. Step 4: Simplify right side
    807.28x = 379,791.20
  5. Step 5: Solve for x
    x = 379,791.20/807.28
  6. Step 6: Final answer
    x = 470.46

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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.