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Finding the Fourth Proportional to 606.70, 837.42 and 358.06

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Solution

The fourth proportional to 606.70, 837.42 and 358.06 is: 494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.70 : 837.42 = 358.06 : x
  2. Step 2: Convert to fraction form
    606.70/837.42 = 358.06/x
  3. Step 3: Cross multiply
    606.70x = 837.42 × 358.06
  4. Step 4: Simplify right side
    606.70x = 299,846.61
  5. Step 5: Solve for x
    x = 299,846.61/606.70
  6. Step 6: Final answer
    x = 494.23

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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.