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Finding the Fourth Proportional to 618.33, 852.71 and 478.23

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Solution

The fourth proportional to 618.33, 852.71 and 478.23 is: 659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.33 : 852.71 = 478.23 : x
  2. Step 2: Convert to fraction form
    618.33/852.71 = 478.23/x
  3. Step 3: Cross multiply
    618.33x = 852.71 × 478.23
  4. Step 4: Simplify right side
    618.33x = 407,789.11
  5. Step 5: Solve for x
    x = 407,789.11/618.33
  6. Step 6: Final answer
    x = 659.50

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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.