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Finding the Fourth Proportional to 493.61, 744.15 and 467.15

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Solution

The fourth proportional to 493.61, 744.15 and 467.15 is: 704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.61 : 744.15 = 467.15 : x
  2. Step 2: Convert to fraction form
    493.61/744.15 = 467.15/x
  3. Step 3: Cross multiply
    493.61x = 744.15 × 467.15
  4. Step 4: Simplify right side
    493.61x = 347,627.70
  5. Step 5: Solve for x
    x = 347,627.70/493.61
  6. Step 6: Final answer
    x = 704.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.