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Finding the Fourth Proportional to 714.64, 1,071.32 and 329.68

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Solution

The fourth proportional to 714.64, 1,071.32 and 329.68 is: 494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.64 : 1,071.32 = 329.68 : x
  2. Step 2: Convert to fraction form
    714.64/1,071.32 = 329.68/x
  3. Step 3: Cross multiply
    714.64x = 1,071.32 × 329.68
  4. Step 4: Simplify right side
    714.64x = 353,192.78
  5. Step 5: Solve for x
    x = 353,192.78/714.64
  6. Step 6: Final answer
    x = 494.22

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Why These Related Problems?

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