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Finding the Fourth Proportional to 492.50, 677.94 and 426.08

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Solution

The fourth proportional to 492.50, 677.94 and 426.08 is: 586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.50 : 677.94 = 426.08 : x
  2. Step 2: Convert to fraction form
    492.50/677.94 = 426.08/x
  3. Step 3: Cross multiply
    492.50x = 677.94 × 426.08
  4. Step 4: Simplify right side
    492.50x = 288,856.68
  5. Step 5: Solve for x
    x = 288,856.68/492.50
  6. Step 6: Final answer
    x = 586.51

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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.