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Finding the Fourth Proportional to 493.86, 744.53 and 467.40

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Solution

The fourth proportional to 493.86, 744.53 and 467.40 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.86 : 744.53 = 467.40 : x
  2. Step 2: Convert to fraction form
    493.86/744.53 = 467.40/x
  3. Step 3: Cross multiply
    493.86x = 744.53 × 467.40
  4. Step 4: Simplify right side
    493.86x = 347,989.60
  5. Step 5: Solve for x
    x = 347,989.60/493.86
  6. Step 6: Final answer
    x = 704.64

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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.