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Finding the Fourth Proportional to 672.49, 928.13 and 377.78

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Solution

The fourth proportional to 672.49, 928.13 and 377.78 is: 521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.49 : 928.13 = 377.78 : x
  2. Step 2: Convert to fraction form
    672.49/928.13 = 377.78/x
  3. Step 3: Cross multiply
    672.49x = 928.13 × 377.78
  4. Step 4: Simplify right side
    672.49x = 350,622.42
  5. Step 5: Solve for x
    x = 350,622.42/672.49
  6. Step 6: Final answer
    x = 521.38

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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.