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Finding the Fourth Proportional to 618.62, 852.80 and 471.00

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Solution

The fourth proportional to 618.62, 852.80 and 471.00 is: 649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.62 : 852.80 = 471.00 : x
  2. Step 2: Convert to fraction form
    618.62/852.80 = 471.00/x
  3. Step 3: Cross multiply
    618.62x = 852.80 × 471.00
  4. Step 4: Simplify right side
    618.62x = 401,664.85
  5. Step 5: Solve for x
    x = 401,664.85/618.62
  6. Step 6: Final answer
    x = 649.29

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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.