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Finding the Fourth Proportional to 672.16, 927.26 and 419.88

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Solution

The fourth proportional to 672.16, 927.26 and 419.88 is: 579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.16 : 927.26 = 419.88 : x
  2. Step 2: Convert to fraction form
    672.16/927.26 = 419.88/x
  3. Step 3: Cross multiply
    672.16x = 927.26 × 419.88
  4. Step 4: Simplify right side
    672.16x = 389,337.93
  5. Step 5: Solve for x
    x = 389,337.93/672.16
  6. Step 6: Final answer
    x = 579.23

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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.