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Finding the Fourth Proportional to 638.72, 958.89 and 543.14

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Solution

The fourth proportional to 638.72, 958.89 and 543.14 is: 815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.72 : 958.89 = 543.14 : x
  2. Step 2: Convert to fraction form
    638.72/958.89 = 543.14/x
  3. Step 3: Cross multiply
    638.72x = 958.89 × 543.14
  4. Step 4: Simplify right side
    638.72x = 520,811.51
  5. Step 5: Solve for x
    x = 520,811.51/638.72
  6. Step 6: Final answer
    x = 815.40

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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.