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Finding the Fourth Proportional to 420.66, 629.91 and 338.01

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Solution

The fourth proportional to 420.66, 629.91 and 338.01 is: 506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.66 : 629.91 = 338.01 : x
  2. Step 2: Convert to fraction form
    420.66/629.91 = 338.01/x
  3. Step 3: Cross multiply
    420.66x = 629.91 × 338.01
  4. Step 4: Simplify right side
    420.66x = 212,915.88
  5. Step 5: Solve for x
    x = 212,915.88/420.66
  6. Step 6: Final answer
    x = 506.15

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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.