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Finding the Fourth Proportional to 582.75, 804.15 and 320.76

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Solution

The fourth proportional to 582.75, 804.15 and 320.76 is: 442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.75 : 804.15 = 320.76 : x
  2. Step 2: Convert to fraction form
    582.75/804.15 = 320.76/x
  3. Step 3: Cross multiply
    582.75x = 804.15 × 320.76
  4. Step 4: Simplify right side
    582.75x = 257,939.15
  5. Step 5: Solve for x
    x = 257,939.15/582.75
  6. Step 6: Final answer
    x = 442.62

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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.