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Finding the Fourth Proportional to 638.34, 880.81 and 417.59

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Solution

The fourth proportional to 638.34, 880.81 and 417.59 is: 576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.34 : 880.81 = 417.59 : x
  2. Step 2: Convert to fraction form
    638.34/880.81 = 417.59/x
  3. Step 3: Cross multiply
    638.34x = 880.81 × 417.59
  4. Step 4: Simplify right side
    638.34x = 367,817.45
  5. Step 5: Solve for x
    x = 367,817.45/638.34
  6. Step 6: Final answer
    x = 576.21

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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.