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Finding the Fourth Proportional to 445.49, 615.02 and 298.38

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Solution

The fourth proportional to 445.49, 615.02 and 298.38 is: 411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.49 : 615.02 = 298.38 : x
  2. Step 2: Convert to fraction form
    445.49/615.02 = 298.38/x
  3. Step 3: Cross multiply
    445.49x = 615.02 × 298.38
  4. Step 4: Simplify right side
    445.49x = 183,505.10
  5. Step 5: Solve for x
    x = 183,505.10/445.49
  6. Step 6: Final answer
    x = 411.92

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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.