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Finding the Fourth Proportional to 584.44, 804.78 and 460.60

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Solution

The fourth proportional to 584.44, 804.78 and 460.60 is: 634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.44 : 804.78 = 460.60 : x
  2. Step 2: Convert to fraction form
    584.44/804.78 = 460.60/x
  3. Step 3: Cross multiply
    584.44x = 804.78 × 460.60
  4. Step 4: Simplify right side
    584.44x = 370,681.67
  5. Step 5: Solve for x
    x = 370,681.67/584.44
  6. Step 6: Final answer
    x = 634.25

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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.