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Finding the Fourth Proportional to 459.56, 689.49 and 185.51

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Solution

The fourth proportional to 459.56, 689.49 and 185.51 is: 278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 689.49 = 185.51 : x
  2. Step 2: Convert to fraction form
    459.56/689.49 = 185.51/x
  3. Step 3: Cross multiply
    459.56x = 689.49 × 185.51
  4. Step 4: Simplify right side
    459.56x = 127,907.29
  5. Step 5: Solve for x
    x = 127,907.29/459.56
  6. Step 6: Final answer
    x = 278.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.