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Finding the Fourth Proportional to 433.16, 598.22 and 351.16

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Solution

The fourth proportional to 433.16, 598.22 and 351.16 is: 484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 598.22 = 351.16 : x
  2. Step 2: Convert to fraction form
    433.16/598.22 = 351.16/x
  3. Step 3: Cross multiply
    433.16x = 598.22 × 351.16
  4. Step 4: Simplify right side
    433.16x = 210,070.94
  5. Step 5: Solve for x
    x = 210,070.94/433.16
  6. Step 6: Final answer
    x = 484.97

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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.