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Finding the Fourth Proportional to 497.41, 684.86 and 422.57

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Solution

The fourth proportional to 497.41, 684.86 and 422.57 is: 581.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.41 : 684.86 = 422.57 : x
  2. Step 2: Convert to fraction form
    497.41/684.86 = 422.57/x
  3. Step 3: Cross multiply
    497.41x = 684.86 × 422.57
  4. Step 4: Simplify right side
    497.41x = 289,400.60
  5. Step 5: Solve for x
    x = 289,400.60/497.41
  6. Step 6: Final answer
    x = 581.82

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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.