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Finding the Fourth Proportional to 618, 852.44 and 470.31

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Solution

The fourth proportional to 618, 852.44 and 470.31 is: 648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    618 : 852.44 = 470.31 : x
  2. Step 2: Convert to fraction form
    618/852.44 = 470.31/x
  3. Step 3: Cross multiply
    618x = 852.44 × 470.31
  4. Step 4: Simplify right side
    618x = 400,911.06
  5. Step 5: Solve for x
    x = 400,911.06/618
  6. Step 6: Final answer
    x = 648.72

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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.