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Finding the Fourth Proportional to 714.47, 1,071.84 and 329.72

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Solution

The fourth proportional to 714.47, 1,071.84 and 329.72 is: 494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.47 : 1,071.84 = 329.72 : x
  2. Step 2: Convert to fraction form
    714.47/1,071.84 = 329.72/x
  3. Step 3: Cross multiply
    714.47x = 1,071.84 × 329.72
  4. Step 4: Simplify right side
    714.47x = 353,401.73
  5. Step 5: Solve for x
    x = 353,401.73/714.47
  6. Step 6: Final answer
    x = 494.64

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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.