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Finding the Fourth Proportional to 309.54, 464.49 and 285.06

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Solution

The fourth proportional to 309.54, 464.49 and 285.06 is: 427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.54 : 464.49 = 285.06 : x
  2. Step 2: Convert to fraction form
    309.54/464.49 = 285.06/x
  3. Step 3: Cross multiply
    309.54x = 464.49 × 285.06
  4. Step 4: Simplify right side
    309.54x = 132,407.52
  5. Step 5: Solve for x
    x = 132,407.52/309.54
  6. Step 6: Final answer
    x = 427.76

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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.