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Finding the Fourth Proportional to 672.42, 927.84 and 392.70

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Solution

The fourth proportional to 672.42, 927.84 and 392.70 is: 541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.42 : 927.84 = 392.70 : x
  2. Step 2: Convert to fraction form
    672.42/927.84 = 392.70/x
  3. Step 3: Cross multiply
    672.42x = 927.84 × 392.70
  4. Step 4: Simplify right side
    672.42x = 364,362.77
  5. Step 5: Solve for x
    x = 364,362.77/672.42
  6. Step 6: Final answer
    x = 541.87

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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.