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Finding the Fourth Proportional to 494.61, 682.49 and 295.51

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Solution

The fourth proportional to 494.61, 682.49 and 295.51 is: 407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.61 : 682.49 = 295.51 : x
  2. Step 2: Convert to fraction form
    494.61/682.49 = 295.51/x
  3. Step 3: Cross multiply
    494.61x = 682.49 × 295.51
  4. Step 4: Simplify right side
    494.61x = 201,681.14
  5. Step 5: Solve for x
    x = 201,681.14/494.61
  6. Step 6: Final answer
    x = 407.76

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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.