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Finding the Fourth Proportional to 609.04, 838.74 and 434.08

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Solution

The fourth proportional to 609.04, 838.74 and 434.08 is: 597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.04 : 838.74 = 434.08 : x
  2. Step 2: Convert to fraction form
    609.04/838.74 = 434.08/x
  3. Step 3: Cross multiply
    609.04x = 838.74 × 434.08
  4. Step 4: Simplify right side
    609.04x = 364,080.26
  5. Step 5: Solve for x
    x = 364,080.26/609.04
  6. Step 6: Final answer
    x = 597.79

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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.