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Finding the Fourth Proportional to 672.42, 927.96 and 377.76

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Solution

The fourth proportional to 672.42, 927.96 and 377.76 is: 521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.42 : 927.96 = 377.76 : x
  2. Step 2: Convert to fraction form
    672.42/927.96 = 377.76/x
  3. Step 3: Cross multiply
    672.42x = 927.96 × 377.76
  4. Step 4: Simplify right side
    672.42x = 350,544.28
  5. Step 5: Solve for x
    x = 350,544.28/672.42
  6. Step 6: Final answer
    x = 521.32

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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.