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Finding the Fourth Proportional to 489.96, 676.17 and 293.58

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Solution

The fourth proportional to 489.96, 676.17 and 293.58 is: 405.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.96 : 676.17 = 293.58 : x
  2. Step 2: Convert to fraction form
    489.96/676.17 = 293.58/x
  3. Step 3: Cross multiply
    489.96x = 676.17 × 293.58
  4. Step 4: Simplify right side
    489.96x = 198,509.99
  5. Step 5: Solve for x
    x = 198,509.99/489.96
  6. Step 6: Final answer
    x = 405.16

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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.