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Finding the Fourth Proportional to 483.12, 723.15 and 309.56

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Solution

The fourth proportional to 483.12, 723.15 and 309.56 is: 463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.12 : 723.15 = 309.56 : x
  2. Step 2: Convert to fraction form
    483.12/723.15 = 309.56/x
  3. Step 3: Cross multiply
    483.12x = 723.15 × 309.56
  4. Step 4: Simplify right side
    483.12x = 223,854.70
  5. Step 5: Solve for x
    x = 223,854.70/483.12
  6. Step 6: Final answer
    x = 463.35

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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.