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Finding the Fourth Proportional to 313.10, 470.21 and 308.51

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Solution

The fourth proportional to 313.10, 470.21 and 308.51 is: 463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.10 : 470.21 = 308.51 : x
  2. Step 2: Convert to fraction form
    313.10/470.21 = 308.51/x
  3. Step 3: Cross multiply
    313.10x = 470.21 × 308.51
  4. Step 4: Simplify right side
    313.10x = 145,060.59
  5. Step 5: Solve for x
    x = 145,060.59/313.10
  6. Step 6: Final answer
    x = 463.31

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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.