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Finding the Fourth Proportional to 683.00, 942.03 and 434.10

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Solution

The fourth proportional to 683.00, 942.03 and 434.10 is: 598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.00 : 942.03 = 434.10 : x
  2. Step 2: Convert to fraction form
    683.00/942.03 = 434.10/x
  3. Step 3: Cross multiply
    683.00x = 942.03 × 434.10
  4. Step 4: Simplify right side
    683.00x = 408,935.22
  5. Step 5: Solve for x
    x = 408,935.22/683.00
  6. Step 6: Final answer
    x = 598.74

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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.