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Finding the Fourth Proportional to 639, 881.46 and 417.90

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Solution

The fourth proportional to 639, 881.46 and 417.90 is: 576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    639 : 881.46 = 417.90 : x
  2. Step 2: Convert to fraction form
    639/881.46 = 417.90/x
  3. Step 3: Cross multiply
    639x = 881.46 × 417.90
  4. Step 4: Simplify right side
    639x = 368,362.13
  5. Step 5: Solve for x
    x = 368,362.13/639
  6. Step 6: Final answer
    x = 576.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.