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Finding the Fourth Proportional to 484.12, 725.21 and 278.11

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Solution

The fourth proportional to 484.12, 725.21 and 278.11 is: 416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.12 : 725.21 = 278.11 : x
  2. Step 2: Convert to fraction form
    484.12/725.21 = 278.11/x
  3. Step 3: Cross multiply
    484.12x = 725.21 × 278.11
  4. Step 4: Simplify right side
    484.12x = 201,683.14
  5. Step 5: Solve for x
    x = 201,683.14/484.12
  6. Step 6: Final answer
    x = 416.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.