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Finding the Fourth Proportional to 675.89, 932.80 and 410.33

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Solution

The fourth proportional to 675.89, 932.80 and 410.33 is: 566.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.89 : 932.80 = 410.33 : x
  2. Step 2: Convert to fraction form
    675.89/932.80 = 410.33/x
  3. Step 3: Cross multiply
    675.89x = 932.80 × 410.33
  4. Step 4: Simplify right side
    675.89x = 382,750.13
  5. Step 5: Solve for x
    x = 382,750.13/675.89
  6. Step 6: Final answer
    x = 566.29

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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.