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Finding the Fourth Proportional to 419.34, 629.58 and 412.04

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Solution

The fourth proportional to 419.34, 629.58 and 412.04 is: 618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.34 : 629.58 = 412.04 : x
  2. Step 2: Convert to fraction form
    419.34/629.58 = 412.04/x
  3. Step 3: Cross multiply
    419.34x = 629.58 × 412.04
  4. Step 4: Simplify right side
    419.34x = 259,412.14
  5. Step 5: Solve for x
    x = 259,412.14/419.34
  6. Step 6: Final answer
    x = 618.62

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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.