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Finding the Fourth Proportional to 497.45, 684.20 and 398.99

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Solution

The fourth proportional to 497.45, 684.20 and 398.99 is: 548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.45 : 684.20 = 398.99 : x
  2. Step 2: Convert to fraction form
    497.45/684.20 = 398.99/x
  3. Step 3: Cross multiply
    497.45x = 684.20 × 398.99
  4. Step 4: Simplify right side
    497.45x = 272,986.86
  5. Step 5: Solve for x
    x = 272,986.86/497.45
  6. Step 6: Final answer
    x = 548.77

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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.