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Finding the Fourth Proportional to 618.82, 853.66 and 471.60

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Solution

The fourth proportional to 618.82, 853.66 and 471.60 is: 650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.82 : 853.66 = 471.60 : x
  2. Step 2: Convert to fraction form
    618.82/853.66 = 471.60/x
  3. Step 3: Cross multiply
    618.82x = 853.66 × 471.60
  4. Step 4: Simplify right side
    618.82x = 402,586.06
  5. Step 5: Solve for x
    x = 402,586.06/618.82
  6. Step 6: Final answer
    x = 650.57

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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.