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Finding the Fourth Proportional to 459.11, 688.78 and 185.39

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Solution

The fourth proportional to 459.11, 688.78 and 185.39 is: 278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.11 : 688.78 = 185.39 : x
  2. Step 2: Convert to fraction form
    459.11/688.78 = 185.39/x
  3. Step 3: Cross multiply
    459.11x = 688.78 × 185.39
  4. Step 4: Simplify right side
    459.11x = 127,694.18
  5. Step 5: Solve for x
    x = 127,694.18/459.11
  6. Step 6: Final answer
    x = 278.13

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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.