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Finding the Fourth Proportional to 675.99, 932.57 and 410.44

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Solution

The fourth proportional to 675.99, 932.57 and 410.44 is: 566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.99 : 932.57 = 410.44 : x
  2. Step 2: Convert to fraction form
    675.99/932.57 = 410.44/x
  3. Step 3: Cross multiply
    675.99x = 932.57 × 410.44
  4. Step 4: Simplify right side
    675.99x = 382,764.03
  5. Step 5: Solve for x
    x = 382,764.03/675.99
  6. Step 6: Final answer
    x = 566.23

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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.