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Finding the Fourth Proportional to 419.30, 628.86 and 130.58

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Solution

The fourth proportional to 419.30, 628.86 and 130.58 is: 195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.30 : 628.86 = 130.58 : x
  2. Step 2: Convert to fraction form
    419.30/628.86 = 130.58/x
  3. Step 3: Cross multiply
    419.30x = 628.86 × 130.58
  4. Step 4: Simplify right side
    419.30x = 82,116.54
  5. Step 5: Solve for x
    x = 82,116.54/419.30
  6. Step 6: Final answer
    x = 195.84

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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.