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Finding the Fourth Proportional to 675.68, 932.45 and 396.08

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Solution

The fourth proportional to 675.68, 932.45 and 396.08 is: 546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.68 : 932.45 = 396.08 : x
  2. Step 2: Convert to fraction form
    675.68/932.45 = 396.08/x
  3. Step 3: Cross multiply
    675.68x = 932.45 × 396.08
  4. Step 4: Simplify right side
    675.68x = 369,324.80
  5. Step 5: Solve for x
    x = 369,324.80/675.68
  6. Step 6: Final answer
    x = 546.60

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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.