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Finding the Fourth Proportional to 675.38, 930.74 and 608.28

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Solution

The fourth proportional to 675.38, 930.74 and 608.28 is: 838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.38 : 930.74 = 608.28 : x
  2. Step 2: Convert to fraction form
    675.38/930.74 = 608.28/x
  3. Step 3: Cross multiply
    675.38x = 930.74 × 608.28
  4. Step 4: Simplify right side
    675.38x = 566,155.27
  5. Step 5: Solve for x
    x = 566,155.27/675.38
  6. Step 6: Final answer
    x = 838.28

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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.