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Finding the Fourth Proportional to 309.03, 460.50 and 299.25

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Solution

The fourth proportional to 309.03, 460.50 and 299.25 is: 445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.03 : 460.50 = 299.25 : x
  2. Step 2: Convert to fraction form
    309.03/460.50 = 299.25/x
  3. Step 3: Cross multiply
    309.03x = 460.50 × 299.25
  4. Step 4: Simplify right side
    309.03x = 137,800.83
  5. Step 5: Solve for x
    x = 137,800.83/309.03
  6. Step 6: Final answer
    x = 445.91

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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.