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Finding the Fourth Proportional to 523.59, 722.27 and 461.58

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Solution

The fourth proportional to 523.59, 722.27 and 461.58 is: 636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.59 : 722.27 = 461.58 : x
  2. Step 2: Convert to fraction form
    523.59/722.27 = 461.58/x
  3. Step 3: Cross multiply
    523.59x = 722.27 × 461.58
  4. Step 4: Simplify right side
    523.59x = 333,383.08
  5. Step 5: Solve for x
    x = 333,383.08/523.59
  6. Step 6: Final answer
    x = 636.73

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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.