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Finding the Fourth Proportional to 497.32, 685.68 and 422.56

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Solution

The fourth proportional to 497.32, 685.68 and 422.56 is: 582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.32 : 685.68 = 422.56 : x
  2. Step 2: Convert to fraction form
    497.32/685.68 = 422.56/x
  3. Step 3: Cross multiply
    497.32x = 685.68 × 422.56
  4. Step 4: Simplify right side
    497.32x = 289,740.94
  5. Step 5: Solve for x
    x = 289,740.94/497.32
  6. Step 6: Final answer
    x = 582.60

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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.