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Finding the Fourth Proportional to 672.63, 927.90 and 410.19

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Solution

The fourth proportional to 672.63, 927.90 and 410.19 is: 565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.63 : 927.90 = 410.19 : x
  2. Step 2: Convert to fraction form
    672.63/927.90 = 410.19/x
  3. Step 3: Cross multiply
    672.63x = 927.90 × 410.19
  4. Step 4: Simplify right side
    672.63x = 380,615.30
  5. Step 5: Solve for x
    x = 380,615.30/672.63
  6. Step 6: Final answer
    x = 565.86

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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.