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Finding the Fourth Proportional to 672.94, 928.64 and 378.24

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Solution

The fourth proportional to 672.94, 928.64 and 378.24 is: 521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.94 : 928.64 = 378.24 : x
  2. Step 2: Convert to fraction form
    672.94/928.64 = 378.24/x
  3. Step 3: Cross multiply
    672.94x = 928.64 × 378.24
  4. Step 4: Simplify right side
    672.94x = 351,248.79
  5. Step 5: Solve for x
    x = 351,248.79/672.94
  6. Step 6: Final answer
    x = 521.96

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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.