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Finding the Fourth Proportional to 433.86, 650.35 and 248.53

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Solution

The fourth proportional to 433.86, 650.35 and 248.53 is: 372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.86 : 650.35 = 248.53 : x
  2. Step 2: Convert to fraction form
    433.86/650.35 = 248.53/x
  3. Step 3: Cross multiply
    433.86x = 650.35 × 248.53
  4. Step 4: Simplify right side
    433.86x = 161,629.24
  5. Step 5: Solve for x
    x = 161,629.24/433.86
  6. Step 6: Final answer
    x = 372.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.