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Finding the Fourth Proportional to 419.37, 577.71 and 321.09

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Solution

The fourth proportional to 419.37, 577.71 and 321.09 is: 442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.37 : 577.71 = 321.09 : x
  2. Step 2: Convert to fraction form
    419.37/577.71 = 321.09/x
  3. Step 3: Cross multiply
    419.37x = 577.71 × 321.09
  4. Step 4: Simplify right side
    419.37x = 185,496.90
  5. Step 5: Solve for x
    x = 185,496.90/419.37
  6. Step 6: Final answer
    x = 442.32

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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.