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Finding the Fourth Proportional to 714.06, 1,071.07 and 329.31

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Solution

The fourth proportional to 714.06, 1,071.07 and 329.31 is: 493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.06 : 1,071.07 = 329.31 : x
  2. Step 2: Convert to fraction form
    714.06/1,071.07 = 329.31/x
  3. Step 3: Cross multiply
    714.06x = 1,071.07 × 329.31
  4. Step 4: Simplify right side
    714.06x = 352,714.06
  5. Step 5: Solve for x
    x = 352,714.06/714.06
  6. Step 6: Final answer
    x = 493.96

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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.