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Finding the Fourth Proportional to 584.38, 805.67 and 484.42

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Solution

The fourth proportional to 584.38, 805.67 and 484.42 is: 667.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.38 : 805.67 = 484.42 : x
  2. Step 2: Convert to fraction form
    584.38/805.67 = 484.42/x
  3. Step 3: Cross multiply
    584.38x = 805.67 × 484.42
  4. Step 4: Simplify right side
    584.38x = 390,284.68
  5. Step 5: Solve for x
    x = 390,284.68/584.38
  6. Step 6: Final answer
    x = 667.86

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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.