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Finding the Fourth Proportional to 493.90, 679.80 and 465.55

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Solution

The fourth proportional to 493.90, 679.80 and 465.55 is: 640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.90 : 679.80 = 465.55 : x
  2. Step 2: Convert to fraction form
    493.90/679.80 = 465.55/x
  3. Step 3: Cross multiply
    493.90x = 679.80 × 465.55
  4. Step 4: Simplify right side
    493.90x = 316,480.89
  5. Step 5: Solve for x
    x = 316,480.89/493.90
  6. Step 6: Final answer
    x = 640.78

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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.