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Finding the Fourth Proportional to 309.08, 461.68 and 280.16

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Solution

The fourth proportional to 309.08, 461.68 and 280.16 is: 418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.08 : 461.68 = 280.16 : x
  2. Step 2: Convert to fraction form
    309.08/461.68 = 280.16/x
  3. Step 3: Cross multiply
    309.08x = 461.68 × 280.16
  4. Step 4: Simplify right side
    309.08x = 129,344.27
  5. Step 5: Solve for x
    x = 129,344.27/309.08
  6. Step 6: Final answer
    x = 418.48

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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.