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Finding the Fourth Proportional to 484.40, 725.99 and 264.48

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Solution

The fourth proportional to 484.40, 725.99 and 264.48 is: 396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.40 : 725.99 = 264.48 : x
  2. Step 2: Convert to fraction form
    484.40/725.99 = 264.48/x
  3. Step 3: Cross multiply
    484.40x = 725.99 × 264.48
  4. Step 4: Simplify right side
    484.40x = 192,008.51
  5. Step 5: Solve for x
    x = 192,008.51/484.40
  6. Step 6: Final answer
    x = 396.39

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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.