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Finding the Fourth Proportional to 483.41, 724.48 and 264.14

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Solution

The fourth proportional to 483.41, 724.48 and 264.14 is: 395.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.41 : 724.48 = 264.14 : x
  2. Step 2: Convert to fraction form
    483.41/724.48 = 264.14/x
  3. Step 3: Cross multiply
    483.41x = 724.48 × 264.14
  4. Step 4: Simplify right side
    483.41x = 191,362.58
  5. Step 5: Solve for x
    x = 191,362.58/483.41
  6. Step 6: Final answer
    x = 395.86

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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.