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Finding the Fourth Proportional to 905.92, 1,358.08 and 466.72

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Solution

The fourth proportional to 905.92, 1,358.08 and 466.72 is: 699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.92 : 1,358.08 = 466.72 : x
  2. Step 2: Convert to fraction form
    905.92/1,358.08 = 466.72/x
  3. Step 3: Cross multiply
    905.92x = 1,358.08 × 466.72
  4. Step 4: Simplify right side
    905.92x = 633,843.10
  5. Step 5: Solve for x
    x = 633,843.10/905.92
  6. Step 6: Final answer
    x = 699.67

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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.