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Finding the Fourth Proportional to 656.26, 905.97 and 435.10

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Solution

The fourth proportional to 656.26, 905.97 and 435.10 is: 600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.26 : 905.97 = 435.10 : x
  2. Step 2: Convert to fraction form
    656.26/905.97 = 435.10/x
  3. Step 3: Cross multiply
    656.26x = 905.97 × 435.10
  4. Step 4: Simplify right side
    656.26x = 394,187.55
  5. Step 5: Solve for x
    x = 394,187.55/656.26
  6. Step 6: Final answer
    x = 600.66

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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.