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Finding the Fourth Proportional to 582.69, 804.05 and 320.66

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Solution

The fourth proportional to 582.69, 804.05 and 320.66 is: 442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.69 : 804.05 = 320.66 : x
  2. Step 2: Convert to fraction form
    582.69/804.05 = 320.66/x
  3. Step 3: Cross multiply
    582.69x = 804.05 × 320.66
  4. Step 4: Simplify right side
    582.69x = 257,821.05
  5. Step 5: Solve for x
    x = 257,821.05/582.69
  6. Step 6: Final answer
    x = 442.47

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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.