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Finding the Fourth Proportional to 313.45, 470.16 and 210.91

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Solution

The fourth proportional to 313.45, 470.16 and 210.91 is: 316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.45 : 470.16 = 210.91 : x
  2. Step 2: Convert to fraction form
    313.45/470.16 = 210.91/x
  3. Step 3: Cross multiply
    313.45x = 470.16 × 210.91
  4. Step 4: Simplify right side
    313.45x = 99,161.45
  5. Step 5: Solve for x
    x = 99,161.45/313.45
  6. Step 6: Final answer
    x = 316.35

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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.