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Finding the Fourth Proportional to 303.72, 419.36 and 210.60

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Solution

The fourth proportional to 303.72, 419.36 and 210.60 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.72 : 419.36 = 210.60 : x
  2. Step 2: Convert to fraction form
    303.72/419.36 = 210.60/x
  3. Step 3: Cross multiply
    303.72x = 419.36 × 210.60
  4. Step 4: Simplify right side
    303.72x = 88,317.22
  5. Step 5: Solve for x
    x = 88,317.22/303.72
  6. Step 6: Final answer
    x = 290.78

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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.