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Finding the Fourth Proportional to 459.34, 689.31 and 185.38

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Solution

The fourth proportional to 459.34, 689.31 and 185.38 is: 278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.34 : 689.31 = 185.38 : x
  2. Step 2: Convert to fraction form
    459.34/689.31 = 185.38/x
  3. Step 3: Cross multiply
    459.34x = 689.31 × 185.38
  4. Step 4: Simplify right side
    459.34x = 127,784.29
  5. Step 5: Solve for x
    x = 127,784.29/459.34
  6. Step 6: Final answer
    x = 278.19

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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.