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Finding the Fourth Proportional to 640.09, 883.75 and 419.44

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Solution

The fourth proportional to 640.09, 883.75 and 419.44 is: 579.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.09 : 883.75 = 419.44 : x
  2. Step 2: Convert to fraction form
    640.09/883.75 = 419.44/x
  3. Step 3: Cross multiply
    640.09x = 883.75 × 419.44
  4. Step 4: Simplify right side
    640.09x = 370,680.10
  5. Step 5: Solve for x
    x = 370,680.10/640.09
  6. Step 6: Final answer
    x = 579.11

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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.