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Finding the Fourth Proportional to 604.24, 834.26 and 457.67

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Solution

The fourth proportional to 604.24, 834.26 and 457.67 is: 631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.24 : 834.26 = 457.67 : x
  2. Step 2: Convert to fraction form
    604.24/834.26 = 457.67/x
  3. Step 3: Cross multiply
    604.24x = 834.26 × 457.67
  4. Step 4: Simplify right side
    604.24x = 381,815.77
  5. Step 5: Solve for x
    x = 381,815.77/604.24
  6. Step 6: Final answer
    x = 631.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.