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Finding the Fourth Proportional to 618.10, 853.71 and 470.50

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Solution

The fourth proportional to 618.10, 853.71 and 470.50 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.10 : 853.71 = 470.50 : x
  2. Step 2: Convert to fraction form
    618.10/853.71 = 470.50/x
  3. Step 3: Cross multiply
    618.10x = 853.71 × 470.50
  4. Step 4: Simplify right side
    618.10x = 401,670.56
  5. Step 5: Solve for x
    x = 401,670.56/618.10
  6. Step 6: Final answer
    x = 649.85

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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.