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Finding the Fourth Proportional to 494.88, 682.92 and 429.36

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Solution

The fourth proportional to 494.88, 682.92 and 429.36 is: 592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.88 : 682.92 = 429.36 : x
  2. Step 2: Convert to fraction form
    494.88/682.92 = 429.36/x
  3. Step 3: Cross multiply
    494.88x = 682.92 × 429.36
  4. Step 4: Simplify right side
    494.88x = 293,218.53
  5. Step 5: Solve for x
    x = 293,218.53/494.88
  6. Step 6: Final answer
    x = 592.50

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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.