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Finding the Fourth Proportional to 492.88, 680.08 and 335.64

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Solution

The fourth proportional to 492.88, 680.08 and 335.64 is: 463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.88 : 680.08 = 335.64 : x
  2. Step 2: Convert to fraction form
    492.88/680.08 = 335.64/x
  3. Step 3: Cross multiply
    492.88x = 680.08 × 335.64
  4. Step 4: Simplify right side
    492.88x = 228,262.05
  5. Step 5: Solve for x
    x = 228,262.05/492.88
  6. Step 6: Final answer
    x = 463.12

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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.