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Finding the Fourth Proportional to 445.08, 614.43 and 305.25

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Solution

The fourth proportional to 445.08, 614.43 and 305.25 is: 421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.08 : 614.43 = 305.25 : x
  2. Step 2: Convert to fraction form
    445.08/614.43 = 305.25/x
  3. Step 3: Cross multiply
    445.08x = 614.43 × 305.25
  4. Step 4: Simplify right side
    445.08x = 187,554.76
  5. Step 5: Solve for x
    x = 187,554.76/445.08
  6. Step 6: Final answer
    x = 421.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.