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Finding the Fourth Proportional to 582.31, 802.96 and 395.43

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Solution

The fourth proportional to 582.31, 802.96 and 395.43 is: 545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.31 : 802.96 = 395.43 : x
  2. Step 2: Convert to fraction form
    582.31/802.96 = 395.43/x
  3. Step 3: Cross multiply
    582.31x = 802.96 × 395.43
  4. Step 4: Simplify right side
    582.31x = 317,517.21
  5. Step 5: Solve for x
    x = 317,517.21/582.31
  6. Step 6: Final answer
    x = 545.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.