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Finding the Fourth Proportional to 638.41, 881.86 and 563.84

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Solution

The fourth proportional to 638.41, 881.86 and 563.84 is: 778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.41 : 881.86 = 563.84 : x
  2. Step 2: Convert to fraction form
    638.41/881.86 = 563.84/x
  3. Step 3: Cross multiply
    638.41x = 881.86 × 563.84
  4. Step 4: Simplify right side
    638.41x = 497,225.59
  5. Step 5: Solve for x
    x = 497,225.59/638.41
  6. Step 6: Final answer
    x = 778.85

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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.