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Finding the Fourth Proportional to 459.29, 689.31 and 185.56

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Solution

The fourth proportional to 459.29, 689.31 and 185.56 is: 278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.29 : 689.31 = 185.56 : x
  2. Step 2: Convert to fraction form
    459.29/689.31 = 185.56/x
  3. Step 3: Cross multiply
    459.29x = 689.31 × 185.56
  4. Step 4: Simplify right side
    459.29x = 127,906.64
  5. Step 5: Solve for x
    x = 127,906.64/459.29
  6. Step 6: Final answer
    x = 278.49

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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.