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Finding the Fourth Proportional to 638.54, 880.70 and 428.66

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Solution

The fourth proportional to 638.54, 880.70 and 428.66 is: 591.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.54 : 880.70 = 428.66 : x
  2. Step 2: Convert to fraction form
    638.54/880.70 = 428.66/x
  3. Step 3: Cross multiply
    638.54x = 880.70 × 428.66
  4. Step 4: Simplify right side
    638.54x = 377,514.32
  5. Step 5: Solve for x
    x = 377,514.32/638.54
  6. Step 6: Final answer
    x = 591.22

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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.