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Finding the Fourth Proportional to 584.11, 805.97 and 359.97

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Solution

The fourth proportional to 584.11, 805.97 and 359.97 is: 496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.11 : 805.97 = 359.97 : x
  2. Step 2: Convert to fraction form
    584.11/805.97 = 359.97/x
  3. Step 3: Cross multiply
    584.11x = 805.97 × 359.97
  4. Step 4: Simplify right side
    584.11x = 290,125.02
  5. Step 5: Solve for x
    x = 290,125.02/584.11
  6. Step 6: Final answer
    x = 496.70

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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.