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Finding the Fourth Proportional to 415.12, 623.04 and 293.68

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Solution

The fourth proportional to 415.12, 623.04 and 293.68 is: 440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.12 : 623.04 = 293.68 : x
  2. Step 2: Convert to fraction form
    415.12/623.04 = 293.68/x
  3. Step 3: Cross multiply
    415.12x = 623.04 × 293.68
  4. Step 4: Simplify right side
    415.12x = 182,974.39
  5. Step 5: Solve for x
    x = 182,974.39/415.12
  6. Step 6: Final answer
    x = 440.77

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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.