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Finding the Fourth Proportional to 596.71, 821.05 and 582.31

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Solution

The fourth proportional to 596.71, 821.05 and 582.31 is: 801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.71 : 821.05 = 582.31 : x
  2. Step 2: Convert to fraction form
    596.71/821.05 = 582.31/x
  3. Step 3: Cross multiply
    596.71x = 821.05 × 582.31
  4. Step 4: Simplify right side
    596.71x = 478,102.71
  5. Step 5: Solve for x
    x = 478,102.71/596.71
  6. Step 6: Final answer
    x = 801.23

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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.