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Finding the Fourth Proportional to 638.60, 881.67 and 417.92

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Solution

The fourth proportional to 638.60, 881.67 and 417.92 is: 577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.60 : 881.67 = 417.92 : x
  2. Step 2: Convert to fraction form
    638.60/881.67 = 417.92/x
  3. Step 3: Cross multiply
    638.60x = 881.67 × 417.92
  4. Step 4: Simplify right side
    638.60x = 368,466.48
  5. Step 5: Solve for x
    x = 368,466.48/638.60
  6. Step 6: Final answer
    x = 577.00

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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.