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Finding the Fourth Proportional to 606.51, 836.46 and 410.30

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Solution

The fourth proportional to 606.51, 836.46 and 410.30 is: 565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.51 : 836.46 = 410.30 : x
  2. Step 2: Convert to fraction form
    606.51/836.46 = 410.30/x
  3. Step 3: Cross multiply
    606.51x = 836.46 × 410.30
  4. Step 4: Simplify right side
    606.51x = 343,195.36
  5. Step 5: Solve for x
    x = 343,195.36/606.51
  6. Step 6: Final answer
    x = 565.85

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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.