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Finding the Fourth Proportional to 419.48, 578.94 and 251.48

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Solution

The fourth proportional to 419.48, 578.94 and 251.48 is: 347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.48 : 578.94 = 251.48 : x
  2. Step 2: Convert to fraction form
    419.48/578.94 = 251.48/x
  3. Step 3: Cross multiply
    419.48x = 578.94 × 251.48
  4. Step 4: Simplify right side
    419.48x = 145,591.83
  5. Step 5: Solve for x
    x = 145,591.83/419.48
  6. Step 6: Final answer
    x = 347.08

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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.