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Finding the Fourth Proportional to 344.35, 515.84 and 214.04

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Solution

The fourth proportional to 344.35, 515.84 and 214.04 is: 320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.35 : 515.84 = 214.04 : x
  2. Step 2: Convert to fraction form
    344.35/515.84 = 214.04/x
  3. Step 3: Cross multiply
    344.35x = 515.84 × 214.04
  4. Step 4: Simplify right side
    344.35x = 110,412.22
  5. Step 5: Solve for x
    x = 110,412.22/344.35
  6. Step 6: Final answer
    x = 320.64

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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.