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Finding the Fourth Proportional to 655.98, 905.38 and 434.94

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Solution

The fourth proportional to 655.98, 905.38 and 434.94 is: 600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.98 : 905.38 = 434.94 : x
  2. Step 2: Convert to fraction form
    655.98/905.38 = 434.94/x
  3. Step 3: Cross multiply
    655.98x = 905.38 × 434.94
  4. Step 4: Simplify right side
    655.98x = 393,785.98
  5. Step 5: Solve for x
    x = 393,785.98/655.98
  6. Step 6: Final answer
    x = 600.30

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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.