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Finding the Fourth Proportional to 714.41, 1,071.71 and 252.16

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Solution

The fourth proportional to 714.41, 1,071.71 and 252.16 is: 378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.41 : 1,071.71 = 252.16 : x
  2. Step 2: Convert to fraction form
    714.41/1,071.71 = 252.16/x
  3. Step 3: Cross multiply
    714.41x = 1,071.71 × 252.16
  4. Step 4: Simplify right side
    714.41x = 270,235.77
  5. Step 5: Solve for x
    x = 270,235.77/714.41
  6. Step 6: Final answer
    x = 378.26

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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.