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Finding the Fourth Proportional to 309.28, 460.94 and 301.60

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Solution

The fourth proportional to 309.28, 460.94 and 301.60 is: 449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.28 : 460.94 = 301.60 : x
  2. Step 2: Convert to fraction form
    309.28/460.94 = 301.60/x
  3. Step 3: Cross multiply
    309.28x = 460.94 × 301.60
  4. Step 4: Simplify right side
    309.28x = 139,019.50
  5. Step 5: Solve for x
    x = 139,019.50/309.28
  6. Step 6: Final answer
    x = 449.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.