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Finding the Fourth Proportional to 638.84, 881.89 and 418.16

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Solution

The fourth proportional to 638.84, 881.89 and 418.16 is: 577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.84 : 881.89 = 418.16 : x
  2. Step 2: Convert to fraction form
    638.84/881.89 = 418.16/x
  3. Step 3: Cross multiply
    638.84x = 881.89 × 418.16
  4. Step 4: Simplify right side
    638.84x = 368,772.28
  5. Step 5: Solve for x
    x = 368,772.28/638.84
  6. Step 6: Final answer
    x = 577.26

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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.