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Finding the Fourth Proportional to 608.42, 838.61 and 431.16

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Solution

The fourth proportional to 608.42, 838.61 and 431.16 is: 594.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.42 : 838.61 = 431.16 : x
  2. Step 2: Convert to fraction form
    608.42/838.61 = 431.16/x
  3. Step 3: Cross multiply
    608.42x = 838.61 × 431.16
  4. Step 4: Simplify right side
    608.42x = 361,575.09
  5. Step 5: Solve for x
    x = 361,575.09/608.42
  6. Step 6: Final answer
    x = 594.29

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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.