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Finding the Fourth Proportional to 531.51, 796.91 and 257.83

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Solution

The fourth proportional to 531.51, 796.91 and 257.83 is: 386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.51 : 796.91 = 257.83 : x
  2. Step 2: Convert to fraction form
    531.51/796.91 = 257.83/x
  3. Step 3: Cross multiply
    531.51x = 796.91 × 257.83
  4. Step 4: Simplify right side
    531.51x = 205,464.02
  5. Step 5: Solve for x
    x = 205,464.02/531.51
  6. Step 6: Final answer
    x = 386.57

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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.