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Finding the Fourth Proportional to 675.38, 930.66 and 488.54

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Solution

The fourth proportional to 675.38, 930.66 and 488.54 is: 673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.38 : 930.66 = 488.54 : x
  2. Step 2: Convert to fraction form
    675.38/930.66 = 488.54/x
  3. Step 3: Cross multiply
    675.38x = 930.66 × 488.54
  4. Step 4: Simplify right side
    675.38x = 454,664.64
  5. Step 5: Solve for x
    x = 454,664.64/675.38
  6. Step 6: Final answer
    x = 673.20

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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.