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Finding the Fourth Proportional to 344.16, 514.91 and 214.20

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Solution

The fourth proportional to 344.16, 514.91 and 214.20 is: 320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.16 : 514.91 = 214.20 : x
  2. Step 2: Convert to fraction form
    344.16/514.91 = 214.20/x
  3. Step 3: Cross multiply
    344.16x = 514.91 × 214.20
  4. Step 4: Simplify right side
    344.16x = 110,292.65
  5. Step 5: Solve for x
    x = 110,292.65/344.16
  6. Step 6: Final answer
    x = 320.47

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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.