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Finding the Fourth Proportional to 483.98, 724.46 and 264.05

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Solution

The fourth proportional to 483.98, 724.46 and 264.05 is: 395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.98 : 724.46 = 264.05 : x
  2. Step 2: Convert to fraction form
    483.98/724.46 = 264.05/x
  3. Step 3: Cross multiply
    483.98x = 724.46 × 264.05
  4. Step 4: Simplify right side
    483.98x = 191,288.72
  5. Step 5: Solve for x
    x = 191,288.72/483.98
  6. Step 6: Final answer
    x = 395.25

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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.