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Finding the Fourth Proportional to 682.42, 942.05 and 514.43

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Solution

The fourth proportional to 682.42, 942.05 and 514.43 is: 710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.42 : 942.05 = 514.43 : x
  2. Step 2: Convert to fraction form
    682.42/942.05 = 514.43/x
  3. Step 3: Cross multiply
    682.42x = 942.05 × 514.43
  4. Step 4: Simplify right side
    682.42x = 484,622.45
  5. Step 5: Solve for x
    x = 484,622.45/682.42
  6. Step 6: Final answer
    x = 710.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.