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Finding the Fourth Proportional to 868.65, 1,303.16 and 320.83

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Solution

The fourth proportional to 868.65, 1,303.16 and 320.83 is: 481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.65 : 1,303.16 = 320.83 : x
  2. Step 2: Convert to fraction form
    868.65/1,303.16 = 320.83/x
  3. Step 3: Cross multiply
    868.65x = 1,303.16 × 320.83
  4. Step 4: Simplify right side
    868.65x = 418,092.82
  5. Step 5: Solve for x
    x = 418,092.82/868.65
  6. Step 6: Final answer
    x = 481.31

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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.