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Finding the Fourth Proportional to 314.74, 471.40 and 211.73

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Solution

The fourth proportional to 314.74, 471.40 and 211.73 is: 317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.74 : 471.40 = 211.73 : x
  2. Step 2: Convert to fraction form
    314.74/471.40 = 211.73/x
  3. Step 3: Cross multiply
    314.74x = 471.40 × 211.73
  4. Step 4: Simplify right side
    314.74x = 99,809.52
  5. Step 5: Solve for x
    x = 99,809.52/314.74
  6. Step 6: Final answer
    x = 317.12

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Why These Related Problems?

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