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Finding the Fourth Proportional to 493.90, 742.65 and 414.70

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Solution

The fourth proportional to 493.90, 742.65 and 414.70 is: 623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.90 : 742.65 = 414.70 : x
  2. Step 2: Convert to fraction form
    493.90/742.65 = 414.70/x
  3. Step 3: Cross multiply
    493.90x = 742.65 × 414.70
  4. Step 4: Simplify right side
    493.90x = 307,976.96
  5. Step 5: Solve for x
    x = 307,976.96/493.90
  6. Step 6: Final answer
    x = 623.56

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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.