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Finding the Fourth Proportional to 445.57, 615.06 and 298.15

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Solution

The fourth proportional to 445.57, 615.06 and 298.15 is: 411.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.57 : 615.06 = 298.15 : x
  2. Step 2: Convert to fraction form
    445.57/615.06 = 298.15/x
  3. Step 3: Cross multiply
    445.57x = 615.06 × 298.15
  4. Step 4: Simplify right side
    445.57x = 183,379.39
  5. Step 5: Solve for x
    x = 183,379.39/445.57
  6. Step 6: Final answer
    x = 411.56

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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.