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Finding the Fourth Proportional to 539.48, 805.31 and 466.83

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Solution

The fourth proportional to 539.48, 805.31 and 466.83 is: 696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.48 : 805.31 = 466.83 : x
  2. Step 2: Convert to fraction form
    539.48/805.31 = 466.83/x
  3. Step 3: Cross multiply
    539.48x = 805.31 × 466.83
  4. Step 4: Simplify right side
    539.48x = 375,942.28
  5. Step 5: Solve for x
    x = 375,942.28/539.48
  6. Step 6: Final answer
    x = 696.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.