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Finding the Fourth Proportional to 415.90, 623.64 and 233.24

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Solution

The fourth proportional to 415.90, 623.64 and 233.24 is: 349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.90 : 623.64 = 233.24 : x
  2. Step 2: Convert to fraction form
    415.90/623.64 = 233.24/x
  3. Step 3: Cross multiply
    415.90x = 623.64 × 233.24
  4. Step 4: Simplify right side
    415.90x = 145,458.92
  5. Step 5: Solve for x
    x = 145,458.92/415.90
  6. Step 6: Final answer
    x = 349.75

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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.