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Finding the Fourth Proportional to 415.82, 623.66 and 293.70

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Solution

The fourth proportional to 415.82, 623.66 and 293.70 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.82 : 623.66 = 293.70 : x
  2. Step 2: Convert to fraction form
    415.82/623.66 = 293.70/x
  3. Step 3: Cross multiply
    415.82x = 623.66 × 293.70
  4. Step 4: Simplify right side
    415.82x = 183,168.94
  5. Step 5: Solve for x
    x = 183,168.94/415.82
  6. Step 6: Final answer
    x = 440.50

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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.