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Finding the Fourth Proportional to 492.11, 677.46 and 381.54

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Solution

The fourth proportional to 492.11, 677.46 and 381.54 is: 525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.11 : 677.46 = 381.54 : x
  2. Step 2: Convert to fraction form
    492.11/677.46 = 381.54/x
  3. Step 3: Cross multiply
    492.11x = 677.46 × 381.54
  4. Step 4: Simplify right side
    492.11x = 258,482.06
  5. Step 5: Solve for x
    x = 258,482.06/492.11
  6. Step 6: Final answer
    x = 525.25

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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.