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Finding the Fourth Proportional to 445.97, 615.98 and 315.56

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Solution

The fourth proportional to 445.97, 615.98 and 315.56 is: 435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.97 : 615.98 = 315.56 : x
  2. Step 2: Convert to fraction form
    445.97/615.98 = 315.56/x
  3. Step 3: Cross multiply
    445.97x = 615.98 × 315.56
  4. Step 4: Simplify right side
    445.97x = 194,376.36
  5. Step 5: Solve for x
    x = 194,376.36/445.97
  6. Step 6: Final answer
    x = 435.86

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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.