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Finding the Fourth Proportional to 356.27, 491.74 and 245.70

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Solution

The fourth proportional to 356.27, 491.74 and 245.70 is: 339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.27 : 491.74 = 245.70 : x
  2. Step 2: Convert to fraction form
    356.27/491.74 = 245.70/x
  3. Step 3: Cross multiply
    356.27x = 491.74 × 245.70
  4. Step 4: Simplify right side
    356.27x = 120,819.90
  5. Step 5: Solve for x
    x = 120,819.90/356.27
  6. Step 6: Final answer
    x = 339.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.