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Finding the Fourth Proportional to 494.11, 681.51 and 431.82

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Solution

The fourth proportional to 494.11, 681.51 and 431.82 is: 595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.11 : 681.51 = 431.82 : x
  2. Step 2: Convert to fraction form
    494.11/681.51 = 431.82/x
  3. Step 3: Cross multiply
    494.11x = 681.51 × 431.82
  4. Step 4: Simplify right side
    494.11x = 294,289.65
  5. Step 5: Solve for x
    x = 294,289.65/494.11
  6. Step 6: Final answer
    x = 595.60

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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.