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Finding the Fourth Proportional to 651.41, 975.38 and 419.03

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Solution

The fourth proportional to 651.41, 975.38 and 419.03 is: 627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.41 : 975.38 = 419.03 : x
  2. Step 2: Convert to fraction form
    651.41/975.38 = 419.03/x
  3. Step 3: Cross multiply
    651.41x = 975.38 × 419.03
  4. Step 4: Simplify right side
    651.41x = 408,706.51
  5. Step 5: Solve for x
    x = 408,706.51/651.41
  6. Step 6: Final answer
    x = 627.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.