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Finding the Fourth Proportional to 497.22, 684.94 and 461.78

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Solution

The fourth proportional to 497.22, 684.94 and 461.78 is: 636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.22 : 684.94 = 461.78 : x
  2. Step 2: Convert to fraction form
    497.22/684.94 = 461.78/x
  3. Step 3: Cross multiply
    497.22x = 684.94 × 461.78
  4. Step 4: Simplify right side
    497.22x = 316,291.59
  5. Step 5: Solve for x
    x = 316,291.59/497.22
  6. Step 6: Final answer
    x = 636.12

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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.