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Finding the Fourth Proportional to 489.89, 676.28 and 315.34

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Solution

The fourth proportional to 489.89, 676.28 and 315.34 is: 435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.89 : 676.28 = 315.34 : x
  2. Step 2: Convert to fraction form
    489.89/676.28 = 315.34/x
  3. Step 3: Cross multiply
    489.89x = 676.28 × 315.34
  4. Step 4: Simplify right side
    489.89x = 213,258.14
  5. Step 5: Solve for x
    x = 213,258.14/489.89
  6. Step 6: Final answer
    x = 435.32

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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.