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Finding the Fourth Proportional to 483.62, 724.19 and 406.40

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Solution

The fourth proportional to 483.62, 724.19 and 406.40 is: 608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.62 : 724.19 = 406.40 : x
  2. Step 2: Convert to fraction form
    483.62/724.19 = 406.40/x
  3. Step 3: Cross multiply
    483.62x = 724.19 × 406.40
  4. Step 4: Simplify right side
    483.62x = 294,305.16
  5. Step 5: Solve for x
    x = 294,305.16/483.62
  6. Step 6: Final answer
    x = 608.55

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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.