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Finding the Fourth Proportional to 868.66, 1,303.53 and 382.12

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Solution

The fourth proportional to 868.66, 1,303.53 and 382.12 is: 573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.66 : 1,303.53 = 382.12 : x
  2. Step 2: Convert to fraction form
    868.66/1,303.53 = 382.12/x
  3. Step 3: Cross multiply
    868.66x = 1,303.53 × 382.12
  4. Step 4: Simplify right side
    868.66x = 498,104.88
  5. Step 5: Solve for x
    x = 498,104.88/868.66
  6. Step 6: Final answer
    x = 573.42

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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.