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Finding the Fourth Proportional to 461.20, 697.24 and 461.20

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Solution

The fourth proportional to 461.20, 697.24 and 461.20 is: 697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.20 : 697.24 = 461.20 : x
  2. Step 2: Convert to fraction form
    461.20/697.24 = 461.20/x
  3. Step 3: Cross multiply
    461.20x = 697.24 × 461.20
  4. Step 4: Simplify right side
    461.20x = 321,567.09
  5. Step 5: Solve for x
    x = 321,567.09/461.20
  6. Step 6: Final answer
    x = 697.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.