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Finding the Fourth Proportional to 484.40, 725.56 and 457.68

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Solution

The fourth proportional to 484.40, 725.56 and 457.68 is: 685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.40 : 725.56 = 457.68 : x
  2. Step 2: Convert to fraction form
    484.40/725.56 = 457.68/x
  3. Step 3: Cross multiply
    484.40x = 725.56 × 457.68
  4. Step 4: Simplify right side
    484.40x = 332,074.30
  5. Step 5: Solve for x
    x = 332,074.30/484.40
  6. Step 6: Final answer
    x = 685.54

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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.