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Finding the Fourth Proportional to 415.94, 623.63 and 233.42

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Solution

The fourth proportional to 415.94, 623.63 and 233.42 is: 349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.94 : 623.63 = 233.42 : x
  2. Step 2: Convert to fraction form
    415.94/623.63 = 233.42/x
  3. Step 3: Cross multiply
    415.94x = 623.63 × 233.42
  4. Step 4: Simplify right side
    415.94x = 145,565.18
  5. Step 5: Solve for x
    x = 145,565.18/415.94
  6. Step 6: Final answer
    x = 349.97

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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.