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Finding the Fourth Proportional to 483.17, 724.59 and 406.62

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Solution

The fourth proportional to 483.17, 724.59 and 406.62 is: 609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.17 : 724.59 = 406.62 : x
  2. Step 2: Convert to fraction form
    483.17/724.59 = 406.62/x
  3. Step 3: Cross multiply
    483.17x = 724.59 × 406.62
  4. Step 4: Simplify right side
    483.17x = 294,632.79
  5. Step 5: Solve for x
    x = 294,632.79/483.17
  6. Step 6: Final answer
    x = 609.80

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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.