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Finding the Fourth Proportional to 672.38, 927.56 and 409.94

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Solution

The fourth proportional to 672.38, 927.56 and 409.94 is: 565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.38 : 927.56 = 409.94 : x
  2. Step 2: Convert to fraction form
    672.38/927.56 = 409.94/x
  3. Step 3: Cross multiply
    672.38x = 927.56 × 409.94
  4. Step 4: Simplify right side
    672.38x = 380,241.90
  5. Step 5: Solve for x
    x = 380,241.90/672.38
  6. Step 6: Final answer
    x = 565.52

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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.