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Finding the Fourth Proportional to 638.34, 954.96 and 535.02

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Solution

The fourth proportional to 638.34, 954.96 and 535.02 is: 800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.34 : 954.96 = 535.02 : x
  2. Step 2: Convert to fraction form
    638.34/954.96 = 535.02/x
  3. Step 3: Cross multiply
    638.34x = 954.96 × 535.02
  4. Step 4: Simplify right side
    638.34x = 510,922.70
  5. Step 5: Solve for x
    x = 510,922.70/638.34
  6. Step 6: Final answer
    x = 800.39

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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.