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Finding the Fourth Proportional to 672.48, 927.86 and 410.31

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Solution

The fourth proportional to 672.48, 927.86 and 410.31 is: 566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.48 : 927.86 = 410.31 : x
  2. Step 2: Convert to fraction form
    672.48/927.86 = 410.31/x
  3. Step 3: Cross multiply
    672.48x = 927.86 × 410.31
  4. Step 4: Simplify right side
    672.48x = 380,708.19
  5. Step 5: Solve for x
    x = 380,708.19/672.48
  6. Step 6: Final answer
    x = 566.13

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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.