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Finding the Fourth Proportional to 672.68, 927.42 and 486.22

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Solution

The fourth proportional to 672.68, 927.42 and 486.22 is: 670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.68 : 927.42 = 486.22 : x
  2. Step 2: Convert to fraction form
    672.68/927.42 = 486.22/x
  3. Step 3: Cross multiply
    672.68x = 927.42 × 486.22
  4. Step 4: Simplify right side
    672.68x = 450,930.15
  5. Step 5: Solve for x
    x = 450,930.15/672.68
  6. Step 6: Final answer
    x = 670.35

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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.