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Finding the Fourth Proportional to 478.12, 659.78 and 268.33

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Solution

The fourth proportional to 478.12, 659.78 and 268.33 is: 370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.12 : 659.78 = 268.33 : x
  2. Step 2: Convert to fraction form
    478.12/659.78 = 268.33/x
  3. Step 3: Cross multiply
    478.12x = 659.78 × 268.33
  4. Step 4: Simplify right side
    478.12x = 177,036.37
  5. Step 5: Solve for x
    x = 177,036.37/478.12
  6. Step 6: Final answer
    x = 370.28

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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.