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Finding the Fourth Proportional to 350.40, 489.60 and 350.40

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Solution

The fourth proportional to 350.40, 489.60 and 350.40 is: 489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.40 : 489.60 = 350.40 : x
  2. Step 2: Convert to fraction form
    350.40/489.60 = 350.40/x
  3. Step 3: Cross multiply
    350.40x = 489.60 × 350.40
  4. Step 4: Simplify right side
    350.40x = 171,555.84
  5. Step 5: Solve for x
    x = 171,555.84/350.40
  6. Step 6: Final answer
    x = 489.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.