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Finding the Fourth Proportional to 456.56, 685.08 and 261.56

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Solution

The fourth proportional to 456.56, 685.08 and 261.56 is: 392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.56 : 685.08 = 261.56 : x
  2. Step 2: Convert to fraction form
    456.56/685.08 = 261.56/x
  3. Step 3: Cross multiply
    456.56x = 685.08 × 261.56
  4. Step 4: Simplify right side
    456.56x = 179,189.52
  5. Step 5: Solve for x
    x = 179,189.52/456.56
  6. Step 6: Final answer
    x = 392.48

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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.