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Finding the Fourth Proportional to 419.70, 629.12 and 409.16

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Solution

The fourth proportional to 419.70, 629.12 and 409.16 is: 613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.70 : 629.12 = 409.16 : x
  2. Step 2: Convert to fraction form
    419.70/629.12 = 409.16/x
  3. Step 3: Cross multiply
    419.70x = 629.12 × 409.16
  4. Step 4: Simplify right side
    419.70x = 257,410.74
  5. Step 5: Solve for x
    x = 257,410.74/419.70
  6. Step 6: Final answer
    x = 613.32

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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.