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Finding the Fourth Proportional to 419.07, 578.14 and 294.69

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Solution

The fourth proportional to 419.07, 578.14 and 294.69 is: 406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.07 : 578.14 = 294.69 : x
  2. Step 2: Convert to fraction form
    419.07/578.14 = 294.69/x
  3. Step 3: Cross multiply
    419.07x = 578.14 × 294.69
  4. Step 4: Simplify right side
    419.07x = 170,370.26
  5. Step 5: Solve for x
    x = 170,370.26/419.07
  6. Step 6: Final answer
    x = 406.54

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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.