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Finding the Fourth Proportional to 614.34, 846.81 and 489.78

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Solution

The fourth proportional to 614.34, 846.81 and 489.78 is: 675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.34 : 846.81 = 489.78 : x
  2. Step 2: Convert to fraction form
    614.34/846.81 = 489.78/x
  3. Step 3: Cross multiply
    614.34x = 846.81 × 489.78
  4. Step 4: Simplify right side
    614.34x = 414,750.60
  5. Step 5: Solve for x
    x = 414,750.60/614.34
  6. Step 6: Final answer
    x = 675.12

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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.