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Finding the Fourth Proportional to 419.74, 629.84 and 146.02

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Solution

The fourth proportional to 419.74, 629.84 and 146.02 is: 219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.74 : 629.84 = 146.02 : x
  2. Step 2: Convert to fraction form
    419.74/629.84 = 146.02/x
  3. Step 3: Cross multiply
    419.74x = 629.84 × 146.02
  4. Step 4: Simplify right side
    419.74x = 91,969.24
  5. Step 5: Solve for x
    x = 91,969.24/419.74
  6. Step 6: Final answer
    x = 219.11

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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.