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Finding the Fourth Proportional to 683.84, 944.01 and 435.50

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Solution

The fourth proportional to 683.84, 944.01 and 435.50 is: 601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.84 : 944.01 = 435.50 : x
  2. Step 2: Convert to fraction form
    683.84/944.01 = 435.50/x
  3. Step 3: Cross multiply
    683.84x = 944.01 × 435.50
  4. Step 4: Simplify right side
    683.84x = 411,116.36
  5. Step 5: Solve for x
    x = 411,116.36/683.84
  6. Step 6: Final answer
    x = 601.19

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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.