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Finding the Fourth Proportional to 427.38, 641.16 and 305.16

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Solution

The fourth proportional to 427.38, 641.16 and 305.16 is: 457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.38 : 641.16 = 305.16 : x
  2. Step 2: Convert to fraction form
    427.38/641.16 = 305.16/x
  3. Step 3: Cross multiply
    427.38x = 641.16 × 305.16
  4. Step 4: Simplify right side
    427.38x = 195,656.39
  5. Step 5: Solve for x
    x = 195,656.39/427.38
  6. Step 6: Final answer
    x = 457.80

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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.