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Finding the Fourth Proportional to 489.29, 734.07 and 273.02

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Solution

The fourth proportional to 489.29, 734.07 and 273.02 is: 409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.29 : 734.07 = 273.02 : x
  2. Step 2: Convert to fraction form
    489.29/734.07 = 273.02/x
  3. Step 3: Cross multiply
    489.29x = 734.07 × 273.02
  4. Step 4: Simplify right side
    489.29x = 200,412.12
  5. Step 5: Solve for x
    x = 200,412.12/489.29
  6. Step 6: Final answer
    x = 409.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.