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Finding the Fourth Proportional to 536.67, 802.71 and 329.90

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Solution

The fourth proportional to 536.67, 802.71 and 329.90 is: 493.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.67 : 802.71 = 329.90 : x
  2. Step 2: Convert to fraction form
    536.67/802.71 = 329.90/x
  3. Step 3: Cross multiply
    536.67x = 802.71 × 329.90
  4. Step 4: Simplify right side
    536.67x = 264,810.02
  5. Step 5: Solve for x
    x = 264,810.02/536.67
  6. Step 6: Final answer
    x = 493.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.