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Finding the Fourth Proportional to 419.80, 579.79 and 374.01

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Solution

The fourth proportional to 419.80, 579.79 and 374.01 is: 516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.80 : 579.79 = 374.01 : x
  2. Step 2: Convert to fraction form
    419.80/579.79 = 374.01/x
  3. Step 3: Cross multiply
    419.80x = 579.79 × 374.01
  4. Step 4: Simplify right side
    419.80x = 216,847.26
  5. Step 5: Solve for x
    x = 216,847.26/419.80
  6. Step 6: Final answer
    x = 516.55

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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.