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Finding the Fourth Proportional to 497.52, 687.32 and 493.68

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Solution

The fourth proportional to 497.52, 687.32 and 493.68 is: 682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.52 : 687.32 = 493.68 : x
  2. Step 2: Convert to fraction form
    497.52/687.32 = 493.68/x
  3. Step 3: Cross multiply
    497.52x = 687.32 × 493.68
  4. Step 4: Simplify right side
    497.52x = 339,316.14
  5. Step 5: Solve for x
    x = 339,316.14/497.52
  6. Step 6: Final answer
    x = 682.02

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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.