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Finding the Fourth Proportional to 492.84, 680.37 and 346.05

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Solution

The fourth proportional to 492.84, 680.37 and 346.05 is: 477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.84 : 680.37 = 346.05 : x
  2. Step 2: Convert to fraction form
    492.84/680.37 = 346.05/x
  3. Step 3: Cross multiply
    492.84x = 680.37 × 346.05
  4. Step 4: Simplify right side
    492.84x = 235,442.04
  5. Step 5: Solve for x
    x = 235,442.04/492.84
  6. Step 6: Final answer
    x = 477.73

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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.