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Finding the Fourth Proportional to 639.98, 883.04 and 419.26

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Solution

The fourth proportional to 639.98, 883.04 and 419.26 is: 578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.98 : 883.04 = 419.26 : x
  2. Step 2: Convert to fraction form
    639.98/883.04 = 419.26/x
  3. Step 3: Cross multiply
    639.98x = 883.04 × 419.26
  4. Step 4: Simplify right side
    639.98x = 370,223.35
  5. Step 5: Solve for x
    x = 370,223.35/639.98
  6. Step 6: Final answer
    x = 578.49

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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.