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Finding the Fourth Proportional to 554.14, 762.69 and 406.54

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Solution

The fourth proportional to 554.14, 762.69 and 406.54 is: 559.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.14 : 762.69 = 406.54 : x
  2. Step 2: Convert to fraction form
    554.14/762.69 = 406.54/x
  3. Step 3: Cross multiply
    554.14x = 762.69 × 406.54
  4. Step 4: Simplify right side
    554.14x = 310,063.99
  5. Step 5: Solve for x
    x = 310,063.99/554.14
  6. Step 6: Final answer
    x = 559.54

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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.