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Finding the Fourth Proportional to 415.82, 623.12 and 294.32

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Solution

The fourth proportional to 415.82, 623.12 and 294.32 is: 441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.82 : 623.12 = 294.32 : x
  2. Step 2: Convert to fraction form
    415.82/623.12 = 294.32/x
  3. Step 3: Cross multiply
    415.82x = 623.12 × 294.32
  4. Step 4: Simplify right side
    415.82x = 183,392.09
  5. Step 5: Solve for x
    x = 183,392.09/415.82
  6. Step 6: Final answer
    x = 441.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.