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Finding the Fourth Proportional to 683.03, 942.57 and 384.28

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Solution

The fourth proportional to 683.03, 942.57 and 384.28 is: 530.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.03 : 942.57 = 384.28 : x
  2. Step 2: Convert to fraction form
    683.03/942.57 = 384.28/x
  3. Step 3: Cross multiply
    683.03x = 942.57 × 384.28
  4. Step 4: Simplify right side
    683.03x = 362,208.44
  5. Step 5: Solve for x
    x = 362,208.44/683.03
  6. Step 6: Final answer
    x = 530.29

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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.