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Finding the Fourth Proportional to 532.12, 796.38 and 429.16

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Solution

The fourth proportional to 532.12, 796.38 and 429.16 is: 642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.12 : 796.38 = 429.16 : x
  2. Step 2: Convert to fraction form
    532.12/796.38 = 429.16/x
  3. Step 3: Cross multiply
    532.12x = 796.38 × 429.16
  4. Step 4: Simplify right side
    532.12x = 341,774.44
  5. Step 5: Solve for x
    x = 341,774.44/532.12
  6. Step 6: Final answer
    x = 642.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.