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Finding the Fourth Proportional to 309.38, 461.55 and 285.08

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Solution

The fourth proportional to 309.38, 461.55 and 285.08 is: 425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.38 : 461.55 = 285.08 : x
  2. Step 2: Convert to fraction form
    309.38/461.55 = 285.08/x
  3. Step 3: Cross multiply
    309.38x = 461.55 × 285.08
  4. Step 4: Simplify right side
    309.38x = 131,577.25
  5. Step 5: Solve for x
    x = 131,577.25/309.38
  6. Step 6: Final answer
    x = 425.29

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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.