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Finding the Fourth Proportional to 419.42, 578.74 and 244.78

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Solution

The fourth proportional to 419.42, 578.74 and 244.78 is: 337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.42 : 578.74 = 244.78 : x
  2. Step 2: Convert to fraction form
    419.42/578.74 = 244.78/x
  3. Step 3: Cross multiply
    419.42x = 578.74 × 244.78
  4. Step 4: Simplify right side
    419.42x = 141,663.98
  5. Step 5: Solve for x
    x = 141,663.98/419.42
  6. Step 6: Final answer
    x = 337.76

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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.