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Finding the Fourth Proportional to 638.02, 880.48 and 354.48

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Solution

The fourth proportional to 638.02, 880.48 and 354.48 is: 489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.02 : 880.48 = 354.48 : x
  2. Step 2: Convert to fraction form
    638.02/880.48 = 354.48/x
  3. Step 3: Cross multiply
    638.02x = 880.48 × 354.48
  4. Step 4: Simplify right side
    638.02x = 312,112.55
  5. Step 5: Solve for x
    x = 312,112.55/638.02
  6. Step 6: Final answer
    x = 489.19

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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.