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Finding the Fourth Proportional to 618.23, 853.34 and 460.89

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Solution

The fourth proportional to 618.23, 853.34 and 460.89 is: 636.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.23 : 853.34 = 460.89 : x
  2. Step 2: Convert to fraction form
    618.23/853.34 = 460.89/x
  3. Step 3: Cross multiply
    618.23x = 853.34 × 460.89
  4. Step 4: Simplify right side
    618.23x = 393,293.57
  5. Step 5: Solve for x
    x = 393,293.57/618.23
  6. Step 6: Final answer
    x = 636.16

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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.