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Finding the Fourth Proportional to 356.45, 491.80 and 314.73

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Solution

The fourth proportional to 356.45, 491.80 and 314.73 is: 434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.45 : 491.80 = 314.73 : x
  2. Step 2: Convert to fraction form
    356.45/491.80 = 314.73/x
  3. Step 3: Cross multiply
    356.45x = 491.80 × 314.73
  4. Step 4: Simplify right side
    356.45x = 154,784.21
  5. Step 5: Solve for x
    x = 154,784.21/356.45
  6. Step 6: Final answer
    x = 434.24

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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.