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Finding the Fourth Proportional to 683.53, 942.71 and 434.42

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Solution

The fourth proportional to 683.53, 942.71 and 434.42 is: 599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.53 : 942.71 = 434.42 : x
  2. Step 2: Convert to fraction form
    683.53/942.71 = 434.42/x
  3. Step 3: Cross multiply
    683.53x = 942.71 × 434.42
  4. Step 4: Simplify right side
    683.53x = 409,527.30
  5. Step 5: Solve for x
    x = 409,527.30/683.53
  6. Step 6: Final answer
    x = 599.14

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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.