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Finding the Fourth Proportional to 419.10, 578.34 and 294.81

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Solution

The fourth proportional to 419.10, 578.34 and 294.81 is: 406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.10 : 578.34 = 294.81 : x
  2. Step 2: Convert to fraction form
    419.10/578.34 = 294.81/x
  3. Step 3: Cross multiply
    419.10x = 578.34 × 294.81
  4. Step 4: Simplify right side
    419.10x = 170,500.42
  5. Step 5: Solve for x
    x = 170,500.42/419.10
  6. Step 6: Final answer
    x = 406.83

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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.