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Finding the Fourth Proportional to 638.08, 958.03 and 585.23

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Solution

The fourth proportional to 638.08, 958.03 and 585.23 is: 878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.08 : 958.03 = 585.23 : x
  2. Step 2: Convert to fraction form
    638.08/958.03 = 585.23/x
  3. Step 3: Cross multiply
    638.08x = 958.03 × 585.23
  4. Step 4: Simplify right side
    638.08x = 560,661.64
  5. Step 5: Solve for x
    x = 560,661.64/638.08
  6. Step 6: Final answer
    x = 878.67

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Why These Related Problems?

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