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Finding the Fourth Proportional to 497.60, 747.60 and 444.80

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Solution

The fourth proportional to 497.60, 747.60 and 444.80 is: 668.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.60 : 747.60 = 444.80 : x
  2. Step 2: Convert to fraction form
    497.60/747.60 = 444.80/x
  3. Step 3: Cross multiply
    497.60x = 747.60 × 444.80
  4. Step 4: Simplify right side
    497.60x = 332,532.48
  5. Step 5: Solve for x
    x = 332,532.48/497.60
  6. Step 6: Final answer
    x = 668.27

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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.