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Finding the Fourth Proportional to 582.86, 804.34 and 320.86

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Solution

The fourth proportional to 582.86, 804.34 and 320.86 is: 442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.86 : 804.34 = 320.86 : x
  2. Step 2: Convert to fraction form
    582.86/804.34 = 320.86/x
  3. Step 3: Cross multiply
    582.86x = 804.34 × 320.86
  4. Step 4: Simplify right side
    582.86x = 258,080.53
  5. Step 5: Solve for x
    x = 258,080.53/582.86
  6. Step 6: Final answer
    x = 442.78

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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.