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Finding the Fourth Proportional to 672.91, 927.99 and 420.51

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Solution

The fourth proportional to 672.91, 927.99 and 420.51 is: 579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.91 : 927.99 = 420.51 : x
  2. Step 2: Convert to fraction form
    672.91/927.99 = 420.51/x
  3. Step 3: Cross multiply
    672.91x = 927.99 × 420.51
  4. Step 4: Simplify right side
    672.91x = 390,227.33
  5. Step 5: Solve for x
    x = 390,227.33/672.91
  6. Step 6: Final answer
    x = 579.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.