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Finding the Fourth Proportional to 671.91, 927.33 and 410.07

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Solution

The fourth proportional to 671.91, 927.33 and 410.07 is: 565.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.91 : 927.33 = 410.07 : x
  2. Step 2: Convert to fraction form
    671.91/927.33 = 410.07/x
  3. Step 3: Cross multiply
    671.91x = 927.33 × 410.07
  4. Step 4: Simplify right side
    671.91x = 380,274.46
  5. Step 5: Solve for x
    x = 380,274.46/671.91
  6. Step 6: Final answer
    x = 565.96

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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.