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Finding the Fourth Proportional to 445.65, 615.17 and 294.21

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Solution

The fourth proportional to 445.65, 615.17 and 294.21 is: 406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.65 : 615.17 = 294.21 : x
  2. Step 2: Convert to fraction form
    445.65/615.17 = 294.21/x
  3. Step 3: Cross multiply
    445.65x = 615.17 × 294.21
  4. Step 4: Simplify right side
    445.65x = 180,989.17
  5. Step 5: Solve for x
    x = 180,989.17/445.65
  6. Step 6: Final answer
    x = 406.12

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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.