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Finding the Fourth Proportional to 314.25, 470.43 and 210.71

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Solution

The fourth proportional to 314.25, 470.43 and 210.71 is: 315.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 470.43 = 210.71 : x
  2. Step 2: Convert to fraction form
    314.25/470.43 = 210.71/x
  3. Step 3: Cross multiply
    314.25x = 470.43 × 210.71
  4. Step 4: Simplify right side
    314.25x = 99,121.95
  5. Step 5: Solve for x
    x = 99,121.95/314.25
  6. Step 6: Final answer
    x = 315.42

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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.