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Finding the Fourth Proportional to 483.21, 724.14 and 277.88

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Solution

The fourth proportional to 483.21, 724.14 and 277.88 is: 416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.21 : 724.14 = 277.88 : x
  2. Step 2: Convert to fraction form
    483.21/724.14 = 277.88/x
  3. Step 3: Cross multiply
    483.21x = 724.14 × 277.88
  4. Step 4: Simplify right side
    483.21x = 201,220.40
  5. Step 5: Solve for x
    x = 201,220.40/483.21
  6. Step 6: Final answer
    x = 416.42

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Why These Related Problems?

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