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Finding the Fourth Proportional to 419.02, 578.10 and 244.33

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Solution

The fourth proportional to 419.02, 578.10 and 244.33 is: 337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.02 : 578.10 = 244.33 : x
  2. Step 2: Convert to fraction form
    419.02/578.10 = 244.33/x
  3. Step 3: Cross multiply
    419.02x = 578.10 × 244.33
  4. Step 4: Simplify right side
    419.02x = 141,247.17
  5. Step 5: Solve for x
    x = 141,247.17/419.02
  6. Step 6: Final answer
    x = 337.09

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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.