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Finding the Fourth Proportional to 492.48, 677.34 and 394.05

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Solution

The fourth proportional to 492.48, 677.34 and 394.05 is: 541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.48 : 677.34 = 394.05 : x
  2. Step 2: Convert to fraction form
    492.48/677.34 = 394.05/x
  3. Step 3: Cross multiply
    492.48x = 677.34 × 394.05
  4. Step 4: Simplify right side
    492.48x = 266,905.83
  5. Step 5: Solve for x
    x = 266,905.83/492.48
  6. Step 6: Final answer
    x = 541.96

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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.