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Finding the Fourth Proportional to 415.87, 623.80 and 262.24

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Solution

The fourth proportional to 415.87, 623.80 and 262.24 is: 393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.87 : 623.80 = 262.24 : x
  2. Step 2: Convert to fraction form
    415.87/623.80 = 262.24/x
  3. Step 3: Cross multiply
    415.87x = 623.80 × 262.24
  4. Step 4: Simplify right side
    415.87x = 163,584.08
  5. Step 5: Solve for x
    x = 163,584.08/415.87
  6. Step 6: Final answer
    x = 393.36

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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.