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Finding the Fourth Proportional to 606.26, 835.64 and 429.28

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Solution

The fourth proportional to 606.26, 835.64 and 429.28 is: 591.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.26 : 835.64 = 429.28 : x
  2. Step 2: Convert to fraction form
    606.26/835.64 = 429.28/x
  3. Step 3: Cross multiply
    606.26x = 835.64 × 429.28
  4. Step 4: Simplify right side
    606.26x = 358,723.54
  5. Step 5: Solve for x
    x = 358,723.54/606.26
  6. Step 6: Final answer
    x = 591.70

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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.