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Finding the Fourth Proportional to 353.84, 488.46 and 260.60

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Solution

The fourth proportional to 353.84, 488.46 and 260.60 is: 359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.84 : 488.46 = 260.60 : x
  2. Step 2: Convert to fraction form
    353.84/488.46 = 260.60/x
  3. Step 3: Cross multiply
    353.84x = 488.46 × 260.60
  4. Step 4: Simplify right side
    353.84x = 127,292.68
  5. Step 5: Solve for x
    x = 127,292.68/353.84
  6. Step 6: Final answer
    x = 359.75

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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.