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Finding the Fourth Proportional to 350.06, 524.73 and 203.75

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Solution

The fourth proportional to 350.06, 524.73 and 203.75 is: 305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.06 : 524.73 = 203.75 : x
  2. Step 2: Convert to fraction form
    350.06/524.73 = 203.75/x
  3. Step 3: Cross multiply
    350.06x = 524.73 × 203.75
  4. Step 4: Simplify right side
    350.06x = 106,913.74
  5. Step 5: Solve for x
    x = 106,913.74/350.06
  6. Step 6: Final answer
    x = 305.42

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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.