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Finding the Fourth Proportional to 420.09, 629.77 and 328.50

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Solution

The fourth proportional to 420.09, 629.77 and 328.50 is: 492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.09 : 629.77 = 328.50 : x
  2. Step 2: Convert to fraction form
    420.09/629.77 = 328.50/x
  3. Step 3: Cross multiply
    420.09x = 629.77 × 328.50
  4. Step 4: Simplify right side
    420.09x = 206,879.45
  5. Step 5: Solve for x
    x = 206,879.45/420.09
  6. Step 6: Final answer
    x = 492.46

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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.