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Finding the Fourth Proportional to 683.05, 942.61 and 384.30

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Solution

The fourth proportional to 683.05, 942.61 and 384.30 is: 530.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.05 : 942.61 = 384.30 : x
  2. Step 2: Convert to fraction form
    683.05/942.61 = 384.30/x
  3. Step 3: Cross multiply
    683.05x = 942.61 × 384.30
  4. Step 4: Simplify right side
    683.05x = 362,245.02
  5. Step 5: Solve for x
    x = 362,245.02/683.05
  6. Step 6: Final answer
    x = 530.33

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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.