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Finding the Fourth Proportional to 360.84, 498.09 and 213.60

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Solution

The fourth proportional to 360.84, 498.09 and 213.60 is: 294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.84 : 498.09 = 213.60 : x
  2. Step 2: Convert to fraction form
    360.84/498.09 = 213.60/x
  3. Step 3: Cross multiply
    360.84x = 498.09 × 213.60
  4. Step 4: Simplify right side
    360.84x = 106,392.02
  5. Step 5: Solve for x
    x = 106,392.02/360.84
  6. Step 6: Final answer
    x = 294.85

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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.