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Finding the Fourth Proportional to 672.40, 1,008.96 and 364.06

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Solution

The fourth proportional to 672.40, 1,008.96 and 364.06 is: 546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.40 : 1,008.96 = 364.06 : x
  2. Step 2: Convert to fraction form
    672.40/1,008.96 = 364.06/x
  3. Step 3: Cross multiply
    672.40x = 1,008.96 × 364.06
  4. Step 4: Simplify right side
    672.40x = 367,321.98
  5. Step 5: Solve for x
    x = 367,321.98/672.40
  6. Step 6: Final answer
    x = 546.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.