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Finding the Fourth Proportional to 433.62, 598.40 and 237.12

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Solution

The fourth proportional to 433.62, 598.40 and 237.12 is: 327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.62 : 598.40 = 237.12 : x
  2. Step 2: Convert to fraction form
    433.62/598.40 = 237.12/x
  3. Step 3: Cross multiply
    433.62x = 598.40 × 237.12
  4. Step 4: Simplify right side
    433.62x = 141,891.42
  5. Step 5: Solve for x
    x = 141,891.42/433.62
  6. Step 6: Final answer
    x = 327.23

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