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Finding the Fourth Proportional to 489.06, 675.03 and 314.31

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Solution

The fourth proportional to 489.06, 675.03 and 314.31 is: 433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.06 : 675.03 = 314.31 : x
  2. Step 2: Convert to fraction form
    489.06/675.03 = 314.31/x
  3. Step 3: Cross multiply
    489.06x = 675.03 × 314.31
  4. Step 4: Simplify right side
    489.06x = 212,168.68
  5. Step 5: Solve for x
    x = 212,168.68/489.06
  6. Step 6: Final answer
    x = 433.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.