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Finding the Fourth Proportional to 672.74, 928.43 and 378.06

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Solution

The fourth proportional to 672.74, 928.43 and 378.06 is: 521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.74 : 928.43 = 378.06 : x
  2. Step 2: Convert to fraction form
    672.74/928.43 = 378.06/x
  3. Step 3: Cross multiply
    672.74x = 928.43 × 378.06
  4. Step 4: Simplify right side
    672.74x = 351,002.25
  5. Step 5: Solve for x
    x = 351,002.25/672.74
  6. Step 6: Final answer
    x = 521.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.