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Finding the Fourth Proportional to 638.37, 881.34 and 417.24

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Solution

The fourth proportional to 638.37, 881.34 and 417.24 is: 576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.37 : 881.34 = 417.24 : x
  2. Step 2: Convert to fraction form
    638.37/881.34 = 417.24/x
  3. Step 3: Cross multiply
    638.37x = 881.34 × 417.24
  4. Step 4: Simplify right side
    638.37x = 367,730.30
  5. Step 5: Solve for x
    x = 367,730.30/638.37
  6. Step 6: Final answer
    x = 576.05

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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.