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Finding the Fourth Proportional to 314.84, 471.29 and 211.83

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Solution

The fourth proportional to 314.84, 471.29 and 211.83 is: 317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.84 : 471.29 = 211.83 : x
  2. Step 2: Convert to fraction form
    314.84/471.29 = 211.83/x
  3. Step 3: Cross multiply
    314.84x = 471.29 × 211.83
  4. Step 4: Simplify right side
    314.84x = 99,832.30
  5. Step 5: Solve for x
    x = 99,832.30/314.84
  6. Step 6: Final answer
    x = 317.09

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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.