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Finding the Fourth Proportional to 482.50, 665.49 and 305.56

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Solution

The fourth proportional to 482.50, 665.49 and 305.56 is: 421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.50 : 665.49 = 305.56 : x
  2. Step 2: Convert to fraction form
    482.50/665.49 = 305.56/x
  3. Step 3: Cross multiply
    482.50x = 665.49 × 305.56
  4. Step 4: Simplify right side
    482.50x = 203,347.12
  5. Step 5: Solve for x
    x = 203,347.12/482.50
  6. Step 6: Final answer
    x = 421.44

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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.