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Finding the Fourth Proportional to 433.29, 598.14 and 333.67

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Solution

The fourth proportional to 433.29, 598.14 and 333.67 is: 460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.29 : 598.14 = 333.67 : x
  2. Step 2: Convert to fraction form
    433.29/598.14 = 333.67/x
  3. Step 3: Cross multiply
    433.29x = 598.14 × 333.67
  4. Step 4: Simplify right side
    433.29x = 199,582.07
  5. Step 5: Solve for x
    x = 199,582.07/433.29
  6. Step 6: Final answer
    x = 460.62

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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.