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Finding the Fourth Proportional to 420.03, 629.36 and 333.24

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Solution

The fourth proportional to 420.03, 629.36 and 333.24 is: 499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.03 : 629.36 = 333.24 : x
  2. Step 2: Convert to fraction form
    420.03/629.36 = 333.24/x
  3. Step 3: Cross multiply
    420.03x = 629.36 × 333.24
  4. Step 4: Simplify right side
    420.03x = 209,726.26
  5. Step 5: Solve for x
    x = 209,726.26/420.03
  6. Step 6: Final answer
    x = 499.31

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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.