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Finding the Fourth Proportional to 672.05, 927.75 and 506.33

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Solution

The fourth proportional to 672.05, 927.75 and 506.33 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.05 : 927.75 = 506.33 : x
  2. Step 2: Convert to fraction form
    672.05/927.75 = 506.33/x
  3. Step 3: Cross multiply
    672.05x = 927.75 × 506.33
  4. Step 4: Simplify right side
    672.05x = 469,748.40
  5. Step 5: Solve for x
    x = 469,748.40/672.05
  6. Step 6: Final answer
    x = 698.98

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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.