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Finding the Fourth Proportional to 672.54, 928.42 and 451.65

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Solution

The fourth proportional to 672.54, 928.42 and 451.65 is: 623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.54 : 928.42 = 451.65 : x
  2. Step 2: Convert to fraction form
    672.54/928.42 = 451.65/x
  3. Step 3: Cross multiply
    672.54x = 928.42 × 451.65
  4. Step 4: Simplify right side
    672.54x = 419,315.12
  5. Step 5: Solve for x
    x = 419,315.12/672.54
  6. Step 6: Final answer
    x = 623.48

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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.