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Finding the Fourth Proportional to 582.82, 804.24 and 320.83

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Solution

The fourth proportional to 582.82, 804.24 and 320.83 is: 442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.82 : 804.24 = 320.83 : x
  2. Step 2: Convert to fraction form
    582.82/804.24 = 320.83/x
  3. Step 3: Cross multiply
    582.82x = 804.24 × 320.83
  4. Step 4: Simplify right side
    582.82x = 258,024.32
  5. Step 5: Solve for x
    x = 258,024.32/582.82
  6. Step 6: Final answer
    x = 442.72

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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.