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Finding the Fourth Proportional to 538.85, 743.25 and 497.84

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Solution

The fourth proportional to 538.85, 743.25 and 497.84 is: 686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.85 : 743.25 = 497.84 : x
  2. Step 2: Convert to fraction form
    538.85/743.25 = 497.84/x
  3. Step 3: Cross multiply
    538.85x = 743.25 × 497.84
  4. Step 4: Simplify right side
    538.85x = 370,015.86
  5. Step 5: Solve for x
    x = 370,015.86/538.85
  6. Step 6: Final answer
    x = 686.68

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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.