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Finding the Fourth Proportional to 638.77, 956.16 and 492.14

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Solution

The fourth proportional to 638.77, 956.16 and 492.14 is: 736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.77 : 956.16 = 492.14 : x
  2. Step 2: Convert to fraction form
    638.77/956.16 = 492.14/x
  3. Step 3: Cross multiply
    638.77x = 956.16 × 492.14
  4. Step 4: Simplify right side
    638.77x = 470,564.58
  5. Step 5: Solve for x
    x = 470,564.58/638.77
  6. Step 6: Final answer
    x = 736.67

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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.