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Finding the Fourth Proportional to 419.94, 579.96 and 374.13

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Solution

The fourth proportional to 419.94, 579.96 and 374.13 is: 516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.94 : 579.96 = 374.13 : x
  2. Step 2: Convert to fraction form
    419.94/579.96 = 374.13/x
  3. Step 3: Cross multiply
    419.94x = 579.96 × 374.13
  4. Step 4: Simplify right side
    419.94x = 216,980.43
  5. Step 5: Solve for x
    x = 216,980.43/419.94
  6. Step 6: Final answer
    x = 516.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.