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Finding the Fourth Proportional to 419.58, 629.10 and 376.11

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Solution

The fourth proportional to 419.58, 629.10 and 376.11 is: 563.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.58 : 629.10 = 376.11 : x
  2. Step 2: Convert to fraction form
    419.58/629.10 = 376.11/x
  3. Step 3: Cross multiply
    419.58x = 629.10 × 376.11
  4. Step 4: Simplify right side
    419.58x = 236,610.80
  5. Step 5: Solve for x
    x = 236,610.80/419.58
  6. Step 6: Final answer
    x = 563.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.