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Finding the Fourth Proportional to 708.41, 1,062.86 and 343.10

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Solution

The fourth proportional to 708.41, 1,062.86 and 343.10 is: 514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.41 : 1,062.86 = 343.10 : x
  2. Step 2: Convert to fraction form
    708.41/1,062.86 = 343.10/x
  3. Step 3: Cross multiply
    708.41x = 1,062.86 × 343.10
  4. Step 4: Simplify right side
    708.41x = 364,668.21
  5. Step 5: Solve for x
    x = 364,668.21/708.41
  6. Step 6: Final answer
    x = 514.77

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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.