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Finding the Fourth Proportional to 675.74, 932.49 and 410.21

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Solution

The fourth proportional to 675.74, 932.49 and 410.21 is: 566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.74 : 932.49 = 410.21 : x
  2. Step 2: Convert to fraction form
    675.74/932.49 = 410.21/x
  3. Step 3: Cross multiply
    675.74x = 932.49 × 410.21
  4. Step 4: Simplify right side
    675.74x = 382,516.72
  5. Step 5: Solve for x
    x = 382,516.72/675.74
  6. Step 6: Final answer
    x = 566.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.