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Finding the Fourth Proportional to 420.13, 629.73 and 305.07

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Solution

The fourth proportional to 420.13, 629.73 and 305.07 is: 457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.13 : 629.73 = 305.07 : x
  2. Step 2: Convert to fraction form
    420.13/629.73 = 305.07/x
  3. Step 3: Cross multiply
    420.13x = 629.73 × 305.07
  4. Step 4: Simplify right side
    420.13x = 192,114.25
  5. Step 5: Solve for x
    x = 192,114.25/420.13
  6. Step 6: Final answer
    x = 457.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.