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Finding the Fourth Proportional to 638.40, 959.64 and 593.32

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Solution

The fourth proportional to 638.40, 959.64 and 593.32 is: 891.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.40 : 959.64 = 593.32 : x
  2. Step 2: Convert to fraction form
    638.40/959.64 = 593.32/x
  3. Step 3: Cross multiply
    638.40x = 959.64 × 593.32
  4. Step 4: Simplify right side
    638.40x = 569,373.60
  5. Step 5: Solve for x
    x = 569,373.60/638.40
  6. Step 6: Final answer
    x = 891.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.