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Finding the Fourth Proportional to 584.71, 806.83 and 360.86

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Solution

The fourth proportional to 584.71, 806.83 and 360.86 is: 497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.71 : 806.83 = 360.86 : x
  2. Step 2: Convert to fraction form
    584.71/806.83 = 360.86/x
  3. Step 3: Cross multiply
    584.71x = 806.83 × 360.86
  4. Step 4: Simplify right side
    584.71x = 291,147.74
  5. Step 5: Solve for x
    x = 291,147.74/584.71
  6. Step 6: Final answer
    x = 497.94

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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.