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Finding the Fourth Proportional to 492.95, 680.36 and 293.82

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Solution

The fourth proportional to 492.95, 680.36 and 293.82 is: 405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.95 : 680.36 = 293.82 : x
  2. Step 2: Convert to fraction form
    492.95/680.36 = 293.82/x
  3. Step 3: Cross multiply
    492.95x = 680.36 × 293.82
  4. Step 4: Simplify right side
    492.95x = 199,901.91
  5. Step 5: Solve for x
    x = 199,901.91/492.95
  6. Step 6: Final answer
    x = 405.53

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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.