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Finding the Fourth Proportional to 714.37, 1,071.29 and 245.71

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Solution

The fourth proportional to 714.37, 1,071.29 and 245.71 is: 368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.37 : 1,071.29 = 245.71 : x
  2. Step 2: Convert to fraction form
    714.37/1,071.29 = 245.71/x
  3. Step 3: Cross multiply
    714.37x = 1,071.29 × 245.71
  4. Step 4: Simplify right side
    714.37x = 263,229.65
  5. Step 5: Solve for x
    x = 263,229.65/714.37
  6. Step 6: Final answer
    x = 368.48

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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.