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Finding the Fourth Proportional to 489.98, 676.38 and 293.46

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Solution

The fourth proportional to 489.98, 676.38 and 293.46 is: 405.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.98 : 676.38 = 293.46 : x
  2. Step 2: Convert to fraction form
    489.98/676.38 = 293.46/x
  3. Step 3: Cross multiply
    489.98x = 676.38 × 293.46
  4. Step 4: Simplify right side
    489.98x = 198,490.47
  5. Step 5: Solve for x
    x = 198,490.47/489.98
  6. Step 6: Final answer
    x = 405.10

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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.