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Finding the Fourth Proportional to 590.80, 808.08 and 582.16

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Solution

The fourth proportional to 590.80, 808.08 and 582.16 is: 796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.80 : 808.08 = 582.16 : x
  2. Step 2: Convert to fraction form
    590.80/808.08 = 582.16/x
  3. Step 3: Cross multiply
    590.80x = 808.08 × 582.16
  4. Step 4: Simplify right side
    590.80x = 470,431.85
  5. Step 5: Solve for x
    x = 470,431.85/590.80
  6. Step 6: Final answer
    x = 796.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.