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Finding the Fourth Proportional to 618.14, 853.25 and 470.52

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Solution

The fourth proportional to 618.14, 853.25 and 470.52 is: 649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.14 : 853.25 = 470.52 : x
  2. Step 2: Convert to fraction form
    618.14/853.25 = 470.52/x
  3. Step 3: Cross multiply
    618.14x = 853.25 × 470.52
  4. Step 4: Simplify right side
    618.14x = 401,468.84
  5. Step 5: Solve for x
    x = 401,468.84/618.14
  6. Step 6: Final answer
    x = 649.48

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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.