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Finding the Fourth Proportional to 611.48, 844.68 and 464.12

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Solution

The fourth proportional to 611.48, 844.68 and 464.12 is: 641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.48 : 844.68 = 464.12 : x
  2. Step 2: Convert to fraction form
    611.48/844.68 = 464.12/x
  3. Step 3: Cross multiply
    611.48x = 844.68 × 464.12
  4. Step 4: Simplify right side
    611.48x = 392,032.88
  5. Step 5: Solve for x
    x = 392,032.88/611.48
  6. Step 6: Final answer
    x = 641.12

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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.