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Finding the Fourth Proportional to 483.00, 724.07 and 309.72

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Solution

The fourth proportional to 483.00, 724.07 and 309.72 is: 464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.00 : 724.07 = 309.72 : x
  2. Step 2: Convert to fraction form
    483.00/724.07 = 309.72/x
  3. Step 3: Cross multiply
    483.00x = 724.07 × 309.72
  4. Step 4: Simplify right side
    483.00x = 224,257.21
  5. Step 5: Solve for x
    x = 224,257.21/483.00
  6. Step 6: Final answer
    x = 464.30

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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.