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Finding the Fourth Proportional to 638.52, 881.18 and 405.64

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Solution

The fourth proportional to 638.52, 881.18 and 405.64 is: 559.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.52 : 881.18 = 405.64 : x
  2. Step 2: Convert to fraction form
    638.52/881.18 = 405.64/x
  3. Step 3: Cross multiply
    638.52x = 881.18 × 405.64
  4. Step 4: Simplify right side
    638.52x = 357,441.86
  5. Step 5: Solve for x
    x = 357,441.86/638.52
  6. Step 6: Final answer
    x = 559.80

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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.