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Finding the Fourth Proportional to 494.76, 742.37 and 429.83

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Solution

The fourth proportional to 494.76, 742.37 and 429.83 is: 644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.76 : 742.37 = 429.83 : x
  2. Step 2: Convert to fraction form
    494.76/742.37 = 429.83/x
  3. Step 3: Cross multiply
    494.76x = 742.37 × 429.83
  4. Step 4: Simplify right side
    494.76x = 319,087.04
  5. Step 5: Solve for x
    x = 319,087.04/494.76
  6. Step 6: Final answer
    x = 644.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.