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Finding the Fourth Proportional to 433.98, 598.85 and 237.49

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Solution

The fourth proportional to 433.98, 598.85 and 237.49 is: 327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.98 : 598.85 = 237.49 : x
  2. Step 2: Convert to fraction form
    433.98/598.85 = 237.49/x
  3. Step 3: Cross multiply
    433.98x = 598.85 × 237.49
  4. Step 4: Simplify right side
    433.98x = 142,220.89
  5. Step 5: Solve for x
    x = 142,220.89/433.98
  6. Step 6: Final answer
    x = 327.71

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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.