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Finding the Fourth Proportional to 531.54, 796.86 and 357.68

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Solution

The fourth proportional to 531.54, 796.86 and 357.68 is: 536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.54 : 796.86 = 357.68 : x
  2. Step 2: Convert to fraction form
    531.54/796.86 = 357.68/x
  3. Step 3: Cross multiply
    531.54x = 796.86 × 357.68
  4. Step 4: Simplify right side
    531.54x = 285,016.90
  5. Step 5: Solve for x
    x = 285,016.90/531.54
  6. Step 6: Final answer
    x = 536.21

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Why These Related Problems?

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