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Finding the Fourth Proportional to 613.14, 845.43 and 435.78

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Solution

The fourth proportional to 613.14, 845.43 and 435.78 is: 600.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.14 : 845.43 = 435.78 : x
  2. Step 2: Convert to fraction form
    613.14/845.43 = 435.78/x
  3. Step 3: Cross multiply
    613.14x = 845.43 × 435.78
  4. Step 4: Simplify right side
    613.14x = 368,421.49
  5. Step 5: Solve for x
    x = 368,421.49/613.14
  6. Step 6: Final answer
    x = 600.88

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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.