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Finding the Fourth Proportional to 419.42, 629.19 and 342.20

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Solution

The fourth proportional to 419.42, 629.19 and 342.20 is: 513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.42 : 629.19 = 342.20 : x
  2. Step 2: Convert to fraction form
    419.42/629.19 = 342.20/x
  3. Step 3: Cross multiply
    419.42x = 629.19 × 342.20
  4. Step 4: Simplify right side
    419.42x = 215,308.82
  5. Step 5: Solve for x
    x = 215,308.82/419.42
  6. Step 6: Final answer
    x = 513.35

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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.