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Finding the Fourth Proportional to 714.42, 1,071.63 and 252.27

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Solution

The fourth proportional to 714.42, 1,071.63 and 252.27 is: 378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 1,071.63 = 252.27 : x
  2. Step 2: Convert to fraction form
    714.42/1,071.63 = 252.27/x
  3. Step 3: Cross multiply
    714.42x = 1,071.63 × 252.27
  4. Step 4: Simplify right side
    714.42x = 270,340.10
  5. Step 5: Solve for x
    x = 270,340.10/714.42
  6. Step 6: Final answer
    x = 378.41

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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.