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Finding the Fourth Proportional to 606.69, 836.78 and 410.13

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Solution

The fourth proportional to 606.69, 836.78 and 410.13 is: 565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.69 : 836.78 = 410.13 : x
  2. Step 2: Convert to fraction form
    606.69/836.78 = 410.13/x
  3. Step 3: Cross multiply
    606.69x = 836.78 × 410.13
  4. Step 4: Simplify right side
    606.69x = 343,186.53
  5. Step 5: Solve for x
    x = 343,186.53/606.69
  6. Step 6: Final answer
    x = 565.67

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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.