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Finding the Fourth Proportional to 606, 835.74 and 458.76

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Solution

The fourth proportional to 606, 835.74 and 458.76 is: 632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    606 : 835.74 = 458.76 : x
  2. Step 2: Convert to fraction form
    606/835.74 = 458.76/x
  3. Step 3: Cross multiply
    606x = 835.74 × 458.76
  4. Step 4: Simplify right side
    606x = 383,404.08
  5. Step 5: Solve for x
    x = 383,404.08/606
  6. Step 6: Final answer
    x = 632.68

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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.