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Finding the Fourth Proportional to 672.05, 927.20 and 406.42

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Solution

The fourth proportional to 672.05, 927.20 and 406.42 is: 560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.05 : 927.20 = 406.42 : x
  2. Step 2: Convert to fraction form
    672.05/927.20 = 406.42/x
  3. Step 3: Cross multiply
    672.05x = 927.20 × 406.42
  4. Step 4: Simplify right side
    672.05x = 376,829.04
  5. Step 5: Solve for x
    x = 376,829.04/672.05
  6. Step 6: Final answer
    x = 560.72

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1.5x scale

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.