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Finding the Fourth Proportional to 714.31, 1,071.69 and 281.50

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Solution

The fourth proportional to 714.31, 1,071.69 and 281.50 is: 422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.31 : 1,071.69 = 281.50 : x
  2. Step 2: Convert to fraction form
    714.31/1,071.69 = 281.50/x
  3. Step 3: Cross multiply
    714.31x = 1,071.69 × 281.50
  4. Step 4: Simplify right side
    714.31x = 301,680.74
  5. Step 5: Solve for x
    x = 301,680.74/714.31
  6. Step 6: Final answer
    x = 422.34

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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.