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Finding the Fourth Proportional to 620.10, 929.10 and 489.60

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Solution

The fourth proportional to 620.10, 929.10 and 489.60 is: 733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.10 : 929.10 = 489.60 : x
  2. Step 2: Convert to fraction form
    620.10/929.10 = 489.60/x
  3. Step 3: Cross multiply
    620.10x = 929.10 × 489.60
  4. Step 4: Simplify right side
    620.10x = 454,887.36
  5. Step 5: Solve for x
    x = 454,887.36/620.10
  6. Step 6: Final answer
    x = 733.57

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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.