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Finding the Fourth Proportional to 419.12, 578.40 and 294.82

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Solution

The fourth proportional to 419.12, 578.40 and 294.82 is: 406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.12 : 578.40 = 294.82 : x
  2. Step 2: Convert to fraction form
    419.12/578.40 = 294.82/x
  3. Step 3: Cross multiply
    419.12x = 578.40 × 294.82
  4. Step 4: Simplify right side
    419.12x = 170,523.15
  5. Step 5: Solve for x
    x = 170,523.15/419.12
  6. Step 6: Final answer
    x = 406.86

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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.