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Finding the Fourth Proportional to 419.98, 630.18 and 305.37

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Solution

The fourth proportional to 419.98, 630.18 and 305.37 is: 458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.98 : 630.18 = 305.37 : x
  2. Step 2: Convert to fraction form
    419.98/630.18 = 305.37/x
  3. Step 3: Cross multiply
    419.98x = 630.18 × 305.37
  4. Step 4: Simplify right side
    419.98x = 192,434.92
  5. Step 5: Solve for x
    x = 192,434.92/419.98
  6. Step 6: Final answer
    x = 458.21

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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.