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Finding the Fourth Proportional to 584.51, 807.25 and 461.09

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Solution

The fourth proportional to 584.51, 807.25 and 461.09 is: 636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.51 : 807.25 = 461.09 : x
  2. Step 2: Convert to fraction form
    584.51/807.25 = 461.09/x
  3. Step 3: Cross multiply
    584.51x = 807.25 × 461.09
  4. Step 4: Simplify right side
    584.51x = 372,218.58
  5. Step 5: Solve for x
    x = 372,218.58/584.51
  6. Step 6: Final answer
    x = 636.80

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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.