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Finding the Fourth Proportional to 606.29, 836.33 and 458.46

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Solution

The fourth proportional to 606.29, 836.33 and 458.46 is: 632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.29 : 836.33 = 458.46 : x
  2. Step 2: Convert to fraction form
    606.29/836.33 = 458.46/x
  3. Step 3: Cross multiply
    606.29x = 836.33 × 458.46
  4. Step 4: Simplify right side
    606.29x = 383,421.56
  5. Step 5: Solve for x
    x = 383,421.56/606.29
  6. Step 6: Final answer
    x = 632.41

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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.