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Finding the Fourth Proportional to 419.10, 629.88 and 374.16

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Solution

The fourth proportional to 419.10, 629.88 and 374.16 is: 562.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.10 : 629.88 = 374.16 : x
  2. Step 2: Convert to fraction form
    419.10/629.88 = 374.16/x
  3. Step 3: Cross multiply
    419.10x = 629.88 × 374.16
  4. Step 4: Simplify right side
    419.10x = 235,675.90
  5. Step 5: Solve for x
    x = 235,675.90/419.10
  6. Step 6: Final answer
    x = 562.34

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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.