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Finding the Fourth Proportional to 433.53, 598.26 and 237.05

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Solution

The fourth proportional to 433.53, 598.26 and 237.05 is: 327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.53 : 598.26 = 237.05 : x
  2. Step 2: Convert to fraction form
    433.53/598.26 = 237.05/x
  3. Step 3: Cross multiply
    433.53x = 598.26 × 237.05
  4. Step 4: Simplify right side
    433.53x = 141,814.54
  5. Step 5: Solve for x
    x = 141,814.54/433.53
  6. Step 6: Final answer
    x = 327.12

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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.