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Finding the Fourth Proportional to 604.72, 834.60 and 457.52

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Solution

The fourth proportional to 604.72, 834.60 and 457.52 is: 631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.72 : 834.60 = 457.52 : x
  2. Step 2: Convert to fraction form
    604.72/834.60 = 457.52/x
  3. Step 3: Cross multiply
    604.72x = 834.60 × 457.52
  4. Step 4: Simplify right side
    604.72x = 381,846.19
  5. Step 5: Solve for x
    x = 381,846.19/604.72
  6. Step 6: Final answer
    x = 631.44

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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.