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Finding the Fourth Proportional to 406, 559.74 and 318.52

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Solution

The fourth proportional to 406, 559.74 and 318.52 is: 439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 559.74 = 318.52 : x
  2. Step 2: Convert to fraction form
    406/559.74 = 318.52/x
  3. Step 3: Cross multiply
    406x = 559.74 × 318.52
  4. Step 4: Simplify right side
    406x = 178,288.38
  5. Step 5: Solve for x
    x = 178,288.38/406
  6. Step 6: Final answer
    x = 439.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.