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Finding the Fourth Proportional to 685.88, 946.72 and 489.96

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Solution

The fourth proportional to 685.88, 946.72 and 489.96 is: 676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.88 : 946.72 = 489.96 : x
  2. Step 2: Convert to fraction form
    685.88/946.72 = 489.96/x
  3. Step 3: Cross multiply
    685.88x = 946.72 × 489.96
  4. Step 4: Simplify right side
    685.88x = 463,854.93
  5. Step 5: Solve for x
    x = 463,854.93/685.88
  6. Step 6: Final answer
    x = 676.29

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