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Finding the Fourth Proportional to 483.32, 724.80 and 406.82

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Solution

The fourth proportional to 483.32, 724.80 and 406.82 is: 610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.32 : 724.80 = 406.82 : x
  2. Step 2: Convert to fraction form
    483.32/724.80 = 406.82/x
  3. Step 3: Cross multiply
    483.32x = 724.80 × 406.82
  4. Step 4: Simplify right side
    483.32x = 294,863.14
  5. Step 5: Solve for x
    x = 294,863.14/483.32
  6. Step 6: Final answer
    x = 610.08

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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.