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Finding the Fourth Proportional to 497.43, 684.89 and 422.58

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Solution

The fourth proportional to 497.43, 684.89 and 422.58 is: 581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.43 : 684.89 = 422.58 : x
  2. Step 2: Convert to fraction form
    497.43/684.89 = 422.58/x
  3. Step 3: Cross multiply
    497.43x = 684.89 × 422.58
  4. Step 4: Simplify right side
    497.43x = 289,420.82
  5. Step 5: Solve for x
    x = 289,420.82/497.43
  6. Step 6: Final answer
    x = 581.83

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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.