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Finding the Fourth Proportional to 584.25, 805.38 and 459.68

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Solution

The fourth proportional to 584.25, 805.38 and 459.68 is: 633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.25 : 805.38 = 459.68 : x
  2. Step 2: Convert to fraction form
    584.25/805.38 = 459.68/x
  3. Step 3: Cross multiply
    584.25x = 805.38 × 459.68
  4. Step 4: Simplify right side
    584.25x = 370,211.33
  5. Step 5: Solve for x
    x = 370,211.33/584.25
  6. Step 6: Final answer
    x = 633.66

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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.