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Finding the Fourth Proportional to 444.14, 611.60 and 434.55

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Solution

The fourth proportional to 444.14, 611.60 and 434.55 is: 598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.14 : 611.60 = 434.55 : x
  2. Step 2: Convert to fraction form
    444.14/611.60 = 434.55/x
  3. Step 3: Cross multiply
    444.14x = 611.60 × 434.55
  4. Step 4: Simplify right side
    444.14x = 265,770.78
  5. Step 5: Solve for x
    x = 265,770.78/444.14
  6. Step 6: Final answer
    x = 598.39

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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.