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Finding the Fourth Proportional to 324.60, 489.07 and 293.79

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Solution

The fourth proportional to 324.60, 489.07 and 293.79 is: 442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.60 : 489.07 = 293.79 : x
  2. Step 2: Convert to fraction form
    324.60/489.07 = 293.79/x
  3. Step 3: Cross multiply
    324.60x = 489.07 × 293.79
  4. Step 4: Simplify right side
    324.60x = 143,683.88
  5. Step 5: Solve for x
    x = 143,683.88/324.60
  6. Step 6: Final answer
    x = 442.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.