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Finding the Fourth Proportional to 420.12, 629.66 and 298.13

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Solution

The fourth proportional to 420.12, 629.66 and 298.13 is: 446.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.12 : 629.66 = 298.13 : x
  2. Step 2: Convert to fraction form
    420.12/629.66 = 298.13/x
  3. Step 3: Cross multiply
    420.12x = 629.66 × 298.13
  4. Step 4: Simplify right side
    420.12x = 187,718.13
  5. Step 5: Solve for x
    x = 187,718.13/420.12
  6. Step 6: Final answer
    x = 446.82

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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.