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Finding the Fourth Proportional to 603.44, 832.78 and 341.54

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Solution

The fourth proportional to 603.44, 832.78 and 341.54 is: 471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.44 : 832.78 = 341.54 : x
  2. Step 2: Convert to fraction form
    603.44/832.78 = 341.54/x
  3. Step 3: Cross multiply
    603.44x = 832.78 × 341.54
  4. Step 4: Simplify right side
    603.44x = 284,427.68
  5. Step 5: Solve for x
    x = 284,427.68/603.44
  6. Step 6: Final answer
    x = 471.34

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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.