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Finding the Fourth Proportional to 471.16, 705.90 and 214.12

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Solution

The fourth proportional to 471.16, 705.90 and 214.12 is: 320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.16 : 705.90 = 214.12 : x
  2. Step 2: Convert to fraction form
    471.16/705.90 = 214.12/x
  3. Step 3: Cross multiply
    471.16x = 705.90 × 214.12
  4. Step 4: Simplify right side
    471.16x = 151,147.31
  5. Step 5: Solve for x
    x = 151,147.31/471.16
  6. Step 6: Final answer
    x = 320.80

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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.