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Finding the Fourth Proportional to 543.60, 814.22 and 412.14

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Solution

The fourth proportional to 543.60, 814.22 and 412.14 is: 617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.60 : 814.22 = 412.14 : x
  2. Step 2: Convert to fraction form
    543.60/814.22 = 412.14/x
  3. Step 3: Cross multiply
    543.60x = 814.22 × 412.14
  4. Step 4: Simplify right side
    543.60x = 335,572.63
  5. Step 5: Solve for x
    x = 335,572.63/543.60
  6. Step 6: Final answer
    x = 617.32

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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.