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Finding the Fourth Proportional to 683.42, 942.99 and 403.58

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Solution

The fourth proportional to 683.42, 942.99 and 403.58 is: 556.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.42 : 942.99 = 403.58 : x
  2. Step 2: Convert to fraction form
    683.42/942.99 = 403.58/x
  3. Step 3: Cross multiply
    683.42x = 942.99 × 403.58
  4. Step 4: Simplify right side
    683.42x = 380,572.75
  5. Step 5: Solve for x
    x = 380,572.75/683.42
  6. Step 6: Final answer
    x = 556.87

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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.