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Finding the Fourth Proportional to 584.16, 805.86 and 363.37

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Solution

The fourth proportional to 584.16, 805.86 and 363.37 is: 501.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.16 : 805.86 = 363.37 : x
  2. Step 2: Convert to fraction form
    584.16/805.86 = 363.37/x
  3. Step 3: Cross multiply
    584.16x = 805.86 × 363.37
  4. Step 4: Simplify right side
    584.16x = 292,823.33
  5. Step 5: Solve for x
    x = 292,823.33/584.16
  6. Step 6: Final answer
    x = 501.27

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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.