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Finding the Fourth Proportional to 672.83, 928.52 and 378.09

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Solution

The fourth proportional to 672.83, 928.52 and 378.09 is: 521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.83 : 928.52 = 378.09 : x
  2. Step 2: Convert to fraction form
    672.83/928.52 = 378.09/x
  3. Step 3: Cross multiply
    672.83x = 928.52 × 378.09
  4. Step 4: Simplify right side
    672.83x = 351,062.24
  5. Step 5: Solve for x
    x = 351,062.24/672.83
  6. Step 6: Final answer
    x = 521.77

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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.