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Finding the Fourth Proportional to 309.44, 463.21 and 265.70

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Solution

The fourth proportional to 309.44, 463.21 and 265.70 is: 397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.44 : 463.21 = 265.70 : x
  2. Step 2: Convert to fraction form
    309.44/463.21 = 265.70/x
  3. Step 3: Cross multiply
    309.44x = 463.21 × 265.70
  4. Step 4: Simplify right side
    309.44x = 123,071.92
  5. Step 5: Solve for x
    x = 123,071.92/309.44
  6. Step 6: Final answer
    x = 397.73

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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.