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Finding the Fourth Proportional to 433.96, 598.84 and 237.43

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Solution

The fourth proportional to 433.96, 598.84 and 237.43 is: 327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.96 : 598.84 = 237.43 : x
  2. Step 2: Convert to fraction form
    433.96/598.84 = 237.43/x
  3. Step 3: Cross multiply
    433.96x = 598.84 × 237.43
  4. Step 4: Simplify right side
    433.96x = 142,184.25
  5. Step 5: Solve for x
    x = 142,184.25/433.96
  6. Step 6: Final answer
    x = 327.64

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Why These Related Problems?

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