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Finding the Fourth Proportional to 582.91, 804.41 and 320.92

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Solution

The fourth proportional to 582.91, 804.41 and 320.92 is: 442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.91 : 804.41 = 320.92 : x
  2. Step 2: Convert to fraction form
    582.91/804.41 = 320.92/x
  3. Step 3: Cross multiply
    582.91x = 804.41 × 320.92
  4. Step 4: Simplify right side
    582.91x = 258,151.26
  5. Step 5: Solve for x
    x = 258,151.26/582.91
  6. Step 6: Final answer
    x = 442.87

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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.